Changing project name in GitHub and Atom

I'm building a website with React using Atom, which is connected to my GitHub account. Both the project name on GitHub and the local project folder name are the same "symbol-neural-network":

How do I can correctly rename both the project name on both GitHub and Atom (project folder) so that they stay syncronized and Atom recognizes it's the same project?

I thought of just renaming the project on GitHub, but I don't want to risk it. Also I believe I originally created the project first on Atom locally and then pushed it as a new repository to GitHub.

Thank you!