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They're actually issued by Green Dot Bank of Provo, UT which is combined with Bonneville Community Bank and Santa Barbara TPG for FDIC purposes.

If you check the ABA's webpage and run their routing number (which you can see on the Turbo Card's Direct Deposit information) you get this:

Now, the account number may be different for people that had advances or fees taken out, I'm not sure about that but it looks like a regular green dot account number from another card that I had. I had neither fees taken or an advance, but I haven't seen anything in terms of a deposit and I'm eligible for being married and with a dependent child. I also have an IP PIN since I was in the Atlanta region's pilot program for them many years ago (which was beyond annoying as I was a deployed servicemember at the time and I didn't get the letter for almost a month as it went home first and my wife had to send it to me via APO) so if you're filing with one, that might cause a delay as it did with my 2008 check IIRC.