It has degree 4, with 25 vertices and 50 edges.
It has girth 4, diameter 4 and radius 4.
Its symmetry group has 200 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 1-arc-transitive.
Its distance-list is 1,4,8,8,4.
torus-s-5-5 can be regarded as 5-cycle × 5-cycle