After giving birth, when can I start loestrin 24 fe?

3-6 weeks. Ask your doctor even before your delivery. Depending on your health and risk factors, you can restart the pill in 3-6 weeks after delivery. I hope that you are planning to breast feed--it's the healthiest thing for your baby and easiest for you. That will also determine when you can restart, and which pills are safest.
6 weeks. First i strongly encourage you to breastfeed as long as possible. The minipill is a better option for breastfeeding moms since it won't affect your milk supply.