Apple TV 1G doesn’t see my AirPort network anymore
I have an 1st-gen Apple TV with a 160 GB drive, which started having trouble connecting to the master iTunes library. I reset it to factory conditions using its menus.
After rebooting from that it failed to connect to my home network. It neither discovers it, nor can it connect to the network, when I spell out the SSID explicitly.
Probably this failure to get on the wireless network was the problem in the first place. Does this problem mean that my Apple TV is broken?
MacBook Pro, OS X Mountain Lion (10.8.2)