While t-values may be used by some, they are not very good effect size estimators, since they depend on sample size. Effect size estimates should, ideally, be independent of sample size.
There are simple conversions for test statistics such as t- or F- to common effect sizes available. Here are some sources:
in addition to what the others suggested, you can have a look to the formulas in Appendix C of the following document - it provides a useful summary of formulas for effect sizes conversion: https://campbellcollaboration.org/media/k2/attachments/converting_between_effect_sizes.pdf