  In this paper, we present the Noether symmetries of a class of the Bianchi
type I anisotropic model in the context of f(T) gravity. By solving the system
of equations obtained from the Noether symmetry condition, we obtain the form
of f(T) as a teleparallel form. This analysis shows that teleparallel gravity
has the maximum number of Noether symmetries. We derive the symmetry generators
and show that there are five kinds of symmetries, including time and scale
invariance under metric coefficients. We classify the symmetries and we obtain
the corresponding invariants.
