What does Luke 23:37 mean?

During the crucifixion, multiple different parties heckle Jesus. Passersby sneer and challenge Jesus to get Himself down from the cross (Matthew 27:39–40; Mark 15:29–30). The religious and civil leaders say something similar, emphasizing that Jesus claimed to be the Son of God (Matthew 27:42–43; Mark 15:31–32; Luke 23:35). Those crucified with Him challenge Him as well (Matthew 27:44; Mark 15:32; Luke 23:39). The soldiers keep their taunting political. They may have been present when Pilate questioned Jesus, asking if Jesus was the King of the Jews (John 18:33). Jesus admitted He is a king, but His kingdom is "not of this world" (John 18:36).

Even with that claim, Pilate did not think Jesus committed any crime worthy of death. He tried to mock the Jews into letting Jesus go, saying, "Behold your King!" (John 19:14). They responded with sheer idolatry: "We have no king but Caesar" (John 19:15). Pilate couldn't negotiate the Jewish leaders into letting Jesus go, but he can highlight their hypocrisy. He puts a sign above Jesus' head that reads "Jesus of Nazareth, the King of the Jews" in Aramaic, Latin, and Greek. When the chief priests protest, saying it should read, "This man said I am King of the Jews," Pilate responds, "What I have written I have written" (John 19:19–22).

The soldiers' mocking has layers. They mock claims to be a king from someone who apparently can't escape crucifixion. They also insult Israel, as well. Here is their king, hanging on a cross. What hope to the Jews have against Rome?