Athene and Athena

I was reading Walter Burkert's section on Athena and he said Her name is spelled Athene in epic. What does that mean and can Her name be spelled both ways equally?

AgathonZante wrote:I was reading Walter Burkert's section on Athena and he said Her name is spelled Athene in epic. What does that mean and can Her name be spelled both ways equally?

There were many Greek dialects and spelling systems. The epic spelling often used H/ēta in places where common language used A/alpha.

So they are both the same, just in different versions of old Greek?