What if the queen could also move like a knight?

Originally posted by hagwas
What would be her value, points wise?

What strategies would change?

What other weird things may happen? (For instance, she'd be able to checkmate a king against the side or back of the board with no other pieces).

Apologies, but this idea came to me while attempting to sleep last night and I had to see what others thought.

The variant has been named amazon chess in Brain King.