Your initial repository name may no longer be applicable or you simply desire to change it. This is a very easy process to do.

1. Navigate to the Settings section of your repository on GitHub and rename your repo.

2. Update the remote location origin to the new repository name by running:
$ git remote set-url origin https://github.com/user-name/new-repo-name.git

3. Verify that the change has been made by running: $ git remote -v

Bonus! For Heroku:

Renaming an app on Heroku is as easy as running a single command from the CLI. From within your project directory, run: $ heroku apps:rename newappname