Arlington-based energy software provider Opower went public Friday morning in an offering that could raise $115.9 million for the company. Opower intends to sell 6.1 million shares at $19 each. It will trade on the New York Stock Exchange under the ticker symbol “OPWR.” The firm’s software tracks a home’s energy usage, then encourages the owners to reduce their consumption by comparing them to neighbors. Opower sells the software to some of the world’s largest utility companies, which in turn make it available to their customers.