A relationship between the binding energy difference for the mirror nuclei 3 H and 3 He and the low energy parameters of neutron-neutron and proton-proton scattering is established. The experimental values for the difference of 3 H and 3 He binding energies and the low energy proton-proton scattering parameters are used to obtain the values for the neutron-neutron scattering length a nn = -18.38(55) fm and the effective range r nn = 2.84(4) fm. The calculated neutron-neutron scattering length is in good agreement with one of the two well known and differing experimental values of this quantity.