We have constructed a transverse modulated magnetometer based on spin alignment in a paraffin-coated $^{85}\text{Rb}$ cell operated in geophysical magnetic field $47.1~\rm{\mu T}$. When an orthogonal driving magnetic field ($\hat{x}$ axis) is resonance on Larmor frequency ($\hat{z}$ axis), we have come up with a new method to zero the static residual magnetic fields in the transverse plane and achieved a sensitivity of $1.8~\rm{pT}/\sqrt{\rm{Hz}}$ with bandwidth of $200~\rm{Hz}$. The repump light ($F_{g}=2\rightarrow F_{e}=2$ ) redistributes the populations in the ground state, rendering the state $|F_{g}=2\rangle$ dark. This effect significantly amplifies the optical rotation signals nearly fourfold. Numeric solution of Liouville equation is in good agreement with experimental results. By using perturbation treatment and employing appropriate approximations, the derived analytical expressions for optical rotation is deduced to succinctly elucidate the dynamics of atomic alignment under parametric modulation. These outcomes could be extended for the advancement of the alignment magnetometer designed to detect a weak magnetic signal in the geophysical range.