In this paper, we compute Alexander polynomials of a torus curve C of type (2,5), C:f(x,y)=f2(x,y)5+f5(x,y)2=0, under the assumption that the origin O is the unique inner singularity and f2=0 is an irreducible conic. We show that the Alexander polynomial remains the same with that of a generic torus curve as long as C is irreducible.
