How has halving affected bitcoin's price over the years?

Could you elaborate on the impact of Bitcoin's halving events on its price fluctuations over the years? Specifically, how have these periodic reductions in miner rewards correlated with the overall market sentiment and price trends? Are there any discernible patterns or trends that emerge from previous halving cycles, and how do market analysts typically interpret these events in terms of their potential impact on Bitcoin's long-term value? Furthermore, what factors beyond the halving itself, such as market sentiment, broader economic conditions, or regulatory developments, might also influence the price movement around these key events?