Covenant belongs to the Evangelical Presbyterian Church (www.epc.org), a denomination that began in 1981 and has over 600 churches.
Evangelical simply means a passion for the gospel.
Gospel is good news. The good news that God became a man in Jesus, without ceasing to be God. The good news that God comes to you, seeks you out in Jesus, so that He might save you through Him. The death of Jesus on the cross and his rising from that death (resurrection) means that God has conquered sin and death and offers you forgiveness and life. We believe we must share this good news with the world.
Presbyterian refers to form of government.
The term "Presbyterian" is from a Greek word that means "elder." A Presbyterian church is governed by elders -- referring not necessarily to age, but spiritual maturity -- who are elected by the congregation to this Biblical office.