  Let q be a prime power and E a non-isotrivial elliptic curve over Fq(T) given
by a Weierstrass model. We survey the construction, with an explicit point of
view, of the modular parametrization of E by the associated Drinfeld modular
curve. We then prove a formula that allows us to evaluate this modular
parametrization at cusps and we produce an explicit method to compute these
values. Finally we illustrate our results with several examples in
characteristic 2 and 3.
