ovulation test as birth control

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Hi ladies,
I am actively trying to prevent pregnancy, and will be starting my first pack of birth control pills this upcoming cycle. My partner and I use condoms, but he cannot climax with one on, and his inability to ejaculate really upsets me. I'm currently on day 20 of my cycle (I have a 30 day cycle), and according to <a href="https://play.google.com/store/apps/details?id=com.glow.android.eve">Eve</a>, I'm expecting my period in 10 days. I'd like to have condom-free sex tomorrow, and I'm wondering if a completely negative ovulation test will mean that I can do that safely. If there is no trace of a second line, wouldn't that mean I'm completely infertile? 
Thanks in advance for your advice :)