Efficient Computation of BSD Invariants in Genus 2

Recently, all Birch and Swinnerton-Dyer invariants, except for the order of , have been computed curves genus 2 contained in L-functions Modular Forms Database [LMFDB]. This report explains improvements made to implementation algorithm described [vBom19] that were needed do computation Tamagawa numbers real period reasonable time. We also explain some more technical details algorithm, give a brief overview methods used compute special value L-function regulator.