Let a line \( L \) pass through the point of intersection of the lines \( bx+10y-8=0 \) and \( 2x-3y=0, \, b\in \mathbb{R}-\left\{ \dfrac{4}{3} \right\} \). If the line \( L \) also passes through the point \( (1,1) \) and touches the circle \( 17(x^{2}+y^{2})=16 \), then the eccentricity of the ellipse \( \dfrac{x^{2}}{5}+\dfrac{y^{2}}{b^{2}}=1 \) is:
