Due to the fact that Jupiter is so large and spins relatively fast, i think a "geostationary orbit" in it would lie deep within it's atmosphere...
There goes your plans of putting satellites there :lol:
EDIT : Forgot to consider Jupiter's mass, calculated it should give r=83663 Km, i used orbiters SidRotPeriod = 13500.3 seconds to this, if you use the cloud rotation period of 35700 seconds it should be r=159987 Km as stated by tblaxland, tested both on orbiter and the one that gave me a latitude hold was 83663 Km.
Pretty cool calculating that.