diff --git a/jedi/api/__init__.py b/jedi/api/__init__.py
index c35323ac..7b9dc768 100644
--- a/jedi/api/__init__.py
+++ b/jedi/api/__init__.py
@@ -138,7 +138,10 @@ class Script(object):
             for call_def in self.call_signatures():
                 if not isinstance(call_def.module, compiled.CompiledObject):
                     for p in call_def.params:
-                        completions.append((p.get_name(), p))
+                        # Allow access on _definition here, because it's a
+                        # public API and we don't want to make the internal
+                        # Name object public.
+                        completions.append((p._definition.get_name(), p))
 
             if not path and not isinstance(user_stmt, pr.Import):
                 # add keywords
diff --git a/jedi/api/classes.py b/jedi/api/classes.py
index a65fa6d6..399755b4 100644
--- a/jedi/api/classes.py
+++ b/jedi/api/classes.py
@@ -451,11 +451,12 @@ class Definition(BaseDefinition):
                 return None
         elif isinstance(d, pr.Statement):
             try:
-                name = d.assignment_details[0][1].values[0][0].name.names[-1]
+                expression_list = d.assignment_details[0][0]
+                name = expression_list[0].name.names[-1]
             except IndexError:
                 if isinstance(d, pr.Param):
                     try:
-                        name = d.expression_list()[0].name.names[-1]
+                        return unicode(d.expression_list()[0].name)
                     except IndexError:
                         pass
                 return None
diff --git a/jedi/evaluate/compiled/__init__.py b/jedi/evaluate/compiled/__init__.py
index f1a0b942..13e2f7c1 100644
--- a/jedi/evaluate/compiled/__init__.py
+++ b/jedi/evaluate/compiled/__init__.py
@@ -8,11 +8,9 @@ import os
 
 from jedi._compatibility import builtins as _builtins
 from jedi import debug
-from jedi.parser.representation import Base, IsScope
 from jedi.cache import underscore_memoization
 from jedi.evaluate.sys_path import get_sys_path
-from jedi.parser.representation import Param
-from jedi.parser.representation import SubModule
+from jedi.parser.representation import Param, SubModule, Base, IsScope, Operator
 from jedi.evaluate.helpers import FakeName
 from . import fake
 
@@ -38,7 +36,10 @@ class CompiledObject(Base):
         # object
         start_pos, end_pos = (0, 0), (0, 0)
         for p in tokens:
-            params.append(Param(module, [FakeName(p.strip())], start_pos,
+            parts = [FakeName(part) for part in p.strip().split('=')]
+            if len(parts) >= 2:
+                parts.insert(1, Operator('=', (0, 0)))
+            params.append(Param(module, parts, start_pos,
                                 end_pos, builtin))
         return params