  In this paper, we have realized the left-right symmetric model with modular
symmetry. We have used $\Gamma$(3) modular group which is isomorphic to
non-abelian discrete symmetry group $A_4$. The advantage of using modular
symmetry is the non-requirement for the use of extra particles called
'flavons'. In this model, the Yukawa couplings are expressed in terms of
modular forms $(Y_1,Y_2,Y_3)$. In this work, we have studied minimal Left-Right
Symmetric Model for both type-I and type-II dominances. Here, we have
calculated the values for the Yukawa couplings and then plotted it against the
sum of the neutrino masses. The results obtained are well within the
experimental limits for the desired values of sum of neutrino masses. We have
also briefly analyzed the effects of the implications of modular symmetry on
neutrinoless double beta decay with the new physics contributions within
Left-Right Symmetric Model.
