# Stored data for newform 8037.2.a.r, downloaded from the LMFDB on 18 June 2024.
{"Nk2": 32148, "analytic_conductor": 64.17576810450305, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [19, -1], [47, -1]], "atkin_lehner_string": "---", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [8037, 1, [4466, 1693, 7525], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 23, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [315, -4727, 11568, 55896, -88871, -224027, 227487, 425340, -290939, -452516, 214815, 294219, -97857, -122210, 28295, 32986, -5195, -5746, 586, 622, -37, -38, 1, 1]], [5, [-2408448, -7634944, 14211072, 45693952, -39301120, -96007936, 52724576, 99072096, -36677368, -57051712, 14486274, 19713785, -3446926, -4262394, 508457, 586779, -46571, -51111, 2569, 2715, -78, -80, 1, 1]]], "hecke_orbit": 18, "hecke_orbit_code": 76561193698860901, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "8037.2.a.r", "level": 8037, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 19, 47], "level_radical": 2679, "minimal_twist": "893.2.a.d", "prim_orbit_index": 1, "related_objects": [], "relative_dim": 23, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8037.2.a", "trace_display": [-1, 0, -1, 15], "traces": [23, -1, 0, 31, -1, 0, 15, 0, 0, 5, -2, 0, 13, -6, 0, 35, -12, 0, 23, -3, 0, -4, -13, 0, 46, 7, 0, 11, 18, 0, 22, 4, 0, -20, -25, 0, 8, -1, 0, -16, 16, 0, 68, 18, 0, 13, 23, 0, 52, 21, 0, 54, 7, 0, 32, -33, 0, 6, -10, 0, 28, 24, 0, 40, 18, 0, 55, -41, 0, -40, 3, 0, 48, 55, 0, 31, 14, 0, 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