Compute $\mathcal{F}$ from a ringdown time to $1/e^2$ and either the $\mathrm{FSR}$ or your cavity geometry. to help you find your $1/e^2$ value, you can use the $1/e^2$ calculator
Intensity $\to 1/e^2$: $$\mathcal{F} = \pi\, t_{1/e^2}\, \mathrm{FSR}$$
Amplitude $\to 1/e^2$: $$\mathcal{F} = \frac{\pi}{2}\, t_{1/e^2}\, \mathrm{FSR}$$