  We study the stochastic Leray-{\alpha} model of Euler equations with
transport noise. We first use weak convergence approach to show the large
deviations of the stochastic Leray-{\alpha} model of Euler equations in a
suitable scaling limit. Then, we establish the quantitative convergence rate by
semigroup approach. Moreover, we obtain a central limit theorem with strong
convergence and get the explicit rate.
