I have an ovarian cyst on my right ovary but swelling and pain on my left lower abdomen and swelling down my left leg. When will the symptoms stop?

Time. Some ovarian cysts are functional cysts that will go away in 2-6 weeks. Sometimes birth control pills will help them to resolve faster. Other cysts are benign growths. These don't go away and if they get large enough will need to be removed surgically. If you aren't starting to feel better in several weeks see your doctor again.