Reassessment of the critical temperature and density of the restricted primitive model of an ionic fluid by Monte Carlo simulations performed for system sizes with linear dimension up to L/sigma=34 and sampling of similar to10(9) trial moves leads to T-c(*)=0.049 17+/-0.000 02 and rho(c)(*)=0.080+/-0.005. Finite size scaling analysis based in the Bruce-Wilding procedure gives critical exponents in agreement with those of the three-dimensional Ising universality class. An analysis similar to that proposed by Orkoulas [Phys. Rev. E 63, 051507 (2001)], not relying on an a priori knowledge of the universality class, leads to an inaccurate estimate of T-c(*) and to unexpected behavior of the specific heat and value of the critical exponent ratio gamma/nu.