I read in sci.electronics.design that snipped-for-privacy@att.net wrote (in ) about 'Ferrite bar antenna for car radio?', on Sat, 17 Sep 2005:
20 turns does look too many for an 80-turn primary. If you have a standard 93 ohm input impedance in the radio, the load on the primary is 93 x (80/20)^2 = 1488 ohms. If your 365 pF cap tunes the primary to 540 kHz (I don't remember the lower bound of the AM band in US, but it's around that frequency), it has an impedance of: 1/(2pi x 540.10^3 x 365. 10^-12) = 807 ohms,so your circuit Q is only 1488/807 = 1.84.
Try 5 turns, would round the ground end of your coil. You have grounded the frame of the variable cap to the case of the radio, haven't you?