# Stored data for newform 4011.2.a.m, downloaded from the LMFDB on 25 April 2024.
{"label": "4011.2.a.m", "space_label": "4011.2.a", "level": 4011, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562004395, "dim": 29, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-2816, -21536, 18240, 390048, 137760, -2541528, -832491, 8574381, 866074, -16571282, 1962188, 19089627, -5410412, -13642356, 5597563, 6223836, -3263712, -1821712, 1194658, 329290, -285205, -31109, 44445, 61, -4363, 318, 245, -31, -6, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16044, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 32.02799625073556, "level_radical": 4011, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [4011, 1, [2675, 2866, 2311], [1, 1, 1]], "inner_twist_count": 1, "level_primes": [3, 7, 191], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 29, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, 1], [191, 1]], "trace_display": [6, 29, 22, -29], "traces": [29, 6, 29, 40, 22, 6, -29, 15, 29, 0, 11, 40, 13, -6, 22, 58, 17, 6, 3, 52, -29, 17, 36, 15, 57, 25, 29, -40, 20, 0, 6, 46, 11, 18, -22, 40, 22, 8, 13, 6, 26, -6, 21, 22, 22, 28, 41, 58, 29, 18, 17, 2, 37, 6, 7, -15, 3, 9, 27, 52, 20, -12, -29, 59, 3, 17, 30, 33, 36, 0, 68, 15, 1, 21, 57, 11, -11, 25, 34, 110, 29, -49, 13, -40, 27, 35, 20, 17, 61, 0, -13, 86, 6, -19, 25, 46, -3, 6, 11, 104, 44, 18, -6, 89, -22, -10, 71, 40, 86, -9, 22, -58, 42, 8, 13, 17, 13, -56, -17, 6, 86, 40, 26, -48, 138, -6, 2, 77, 21, 41, -12, 22, -3, 22, 22, 56, 46, 28, -84, -52, 41, -35, 89, 58, 7, 27, 29, -33, 90, 18, 6, -53, 17, -17, -2, 2, 12, 44, 37, -59, -36, 6, 60, -12, 7, -73, 38, -15, 38, 56, 3, -13, 3, 9, -57, -10, 27, -109, 2, 52, 84, -25, 20, 73, 13, -12, -81, 61, -29, -189, -29, 59, 24, -58, 3, 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