Thank you all for your answers. I was mistaken when I said I thought it was a green square I think that was the battery when I had it plugged in. It was a white square with L and it showed up all day today while I was at work with better signal and phone worked amazing, and now I know it stands for LTE thank you. People have complained before in my home area about poor AT&T service and I just have to deal with that in my home but I have other means of communication in my home so that is fine. Once again thank you all for your answers.