diff --git a/README.rst b/README.rst
index 7eb534f3..8456b235 100644
--- a/README.rst
+++ b/README.rst
@@ -4,7 +4,7 @@
 .. image:: https://img.shields.io/conda/vn/conda-forge/py.svg
     :target: https://anaconda.org/conda-forge/py
 
-.. image:: https://img.shields.io/pypi/pyversions/pytest.svg
+.. image:: https://img.shields.io/pypi/pyversions/py.svg
   :target: https://pypi.org/project/py
 
 .. image:: https://img.shields.io/travis/pytest-dev/py.svg
@@ -25,9 +25,9 @@ the following tools and modules:
 * ``py.code``: dynamic code generation and introspection (deprecated, moved to ``pytest`` as a implementation detail).
 
 **NOTE**: prior to the 1.4 release this distribution used to
-contain py.test which is now its own package, see http://pytest.org
+contain py.test which is now its own package, see https://docs.pytest.org
 
-For questions and more information please visit http://py.readthedocs.org
+For questions and more information please visit https://py.readthedocs.io
 
 Bugs and issues: https://github.com/pytest-dev/py