I can confirm 26 contacts.Well, I count 26 conductors in the 3.5" drive cable, which is promising. Take a look at a Canon MD3671 drive--does it look the 3.5" unit on your drive?
I think most manufacturers did things the same way--bolt a 3.5" laptop drive onto a 1/3 height 5.25" floppy and cable them together with a special PCB on the 5.25" unit.