Copyright TMZ

Cleveland Guardians pitcher Luis Ortiz made his first court appearance in his pitch rigging case on Monday ... with the 26-year-old being granted his release with several conditions. Ortiz appeared before a judge in Boston ... where he walked out of the courthouse after posting a $500,000 bond, $50K being secured. He was ordered to surrender his passport ... and his travel has been restricted to the Northeast. Cameras were rolling as Luis left in a tracksuit, but he kept his lips sealed as he got into the waiting vehicle. The four-year MLB veteran was arrested Sunday at Logan Airport in Boston ... and we obtained a photo not long after Ortiz was met by cops. Prosecutors unsealed the indictments on Sunday, alleging that Ortiz and his teammate -- Emmanuel Clase -- worked with co-conspirators on what pitches they would throw in the game. Their co-conspirators would then place hundreds of "fraudulent bets" on those pitches ... which won them at least $400,000, according to officials. Chris Georgalis -- Ortiz's attorney -- came out with a strong rebuke of the charges to ESPN, denying claims that the pitcher improperly influenced games. As for Clase, he is not currently in custody. His attorney also provided a statement to the outlet ... saying, "Emmanuel is innocent of all charges and looks forward to clearing his name in court."