  The quantum oscillatory effect and superconductivity in a
non-tetrachalcogenafulvalene (TCF) structure based organic superconductor
beta-(BDA-TTP)_2SbF_6 are studied. Here the Shubnikov-de Haas effect (SdH) and
angular dependent magnetoresistance oscillations (AMRO) are observed. The
oscillation frequency associated with a cylindrical Fermi surface is found to
be about 4050 tesla, which is also verified by the tunnel diode oscillator
(TDO) measurement. The upper critical field Hc2 measurement in a tilted
magnetic field and the TDO measurement in the mixed state reveal a highly
anisotropic superconducting nature in this material. We compared physical
properties of beta-(BDA-TTP)_2SbF_6 with typical TCF structure based quasi
two-dimensional organic conductors. A notable feature of beta-(BDA-TTP)_2SbF_6
superconductor is a large value of effective cyclotron mass m_c^*=12.4+/1.1
m_e, which is the largest yet found in an organic superconductor. A possible
origin of the enhanced effective mass and its relation to the superconductivity
are briefly discussed.
