Abstract: It is known that the 3-manifold $SL(2,\mathbb{Z})\backslash SL(2,\mathbb{R})$ is diffeomorphic to the complement of the trefoil knot in $S^3$. The image of a hyperbolic element in $S^3$ is called a modular knot. The linking number of the trefoil knot with a modular knot can be given in terms of the classical Dedekind symbol. In this talk I will start by introducing these classical objects and give a generalization of the Dedekind symbol and show that how it can be related to the linking numbers of two modular knots.