We report measurements on the anisotropic critical field, the angular dependent magnetoresistance, and Shubnikov de Haas oscillations in α-(BEDT-TTF) 2NH 4Hg(SCN) 4, the only ambient pressure superconductor (T c = 1.2K) in the α-(BEDT-TTF) 2MHg(SCN) 4 organic conductor family. The anisotropic critical field is well described by a 2-D model for layered supercondcutors where the anistropy ε = H c\\\\/H c⊥ is ∼ 25 at low temperatures, and rises to ∼ 100 near T c. Beating behaviour is observed in the SdH effect in tilted magnetic fields.