已知椭圆\(\dfrac{x^{2}}{a^{2}}+\dfrac{y^{2}}{b^{2}}=1(a>b>0)\)的左右焦点分别为\(F_{1}\)、\(F_{2}\)，过\(F_{2}\)的直线与椭圆交于\(A\)、\(B\)两点，若\(\triangle F_{1}AB\)是等边三角形，则离心率为\((\quad)\)
A. \(\dfrac{\sqrt{2}}{2}\)
B. \(\dfrac{1}{3}\) C. \(\dfrac{\sqrt{3}}{3}\) D. \(\dfrac{3}{4}\)
