  General relativistic corrections are calculated for the quadrupole moment of
a magnetically confined mountain on an accreting neutron star. The
hydromagnetic structure of the mountain satisfies the general relativistic
Grad-Shafranov equation supplemented by the flux-freezing condition of ideal
magnetohydrodynamics, as in previous calculations of the magnetic dipole
moment. It is found that the ellipticity and hence the gravitational wave
strain is $4\%$ to $12\%$ smaller than in the analogous Newtonian system. The
direct contribution of the magnetic field to the nonaxisymmetric component of
the stress-energy tensor is also considered, and it is shown that it is
negligible in systems such as low-mass X-ray binaries.
