# Stored data for newform 538.6.a.b, downloaded from the LMFDB on 27 December 2024.
{"Nk2": 19368, "analytic_conductor": 86.28649505938358, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [269, -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": [538, 1, [271], [1]], "cm_discs": [], "conrey_index": 1, "dim": 27, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_orbit": 2, "hecke_orbit_code": 4503599728034330, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "538.6.a.b", "level": 538, "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": true, "level_primes": [2, 269], "level_radical": 538, "minimal_twist": "538.6.a.b", "prim_orbit_index": 1, "related_objects": [], "relative_dim": 27, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "538.6.a", "trace_display": [-108, 33, 139, -25], "traces": [27, -108, 33, 432, 139, -132, -25, -1728, 2346, -556, 1241, 528, -202, 100, 1786, 6912, 1550, -9384, -66, 2224, -1217, -4964, 10568, -2112, 15880, 808, 8256, -400, -2122, -7144, -1621, -27648, 18369, -6200, 23123, 37536, 8542, 264, 589, -8896, 10859, 4868, 23759, 19856, 28006, -42272, 38457, 8448, 57376, -63520, 58237, -3232, 73586, -33024, 25923, 1600, 52534, 8488, 68927, 28576, -76016, 6484, -20738, 110592, 74867, -73476, 94787, 24800, -90601, -92492, 15523, -150144, -96279, -34168, -123786, -1056, -199866, -2356, -246217, 35584, -54473, -43436, -56658, -19472, -120541, -95036, -352954, -79424, -83070, -112024, -132348, 169088, 40727, -153828, -72090, -33792, -36273, -229504, 335378, 254080, 91188, -232948, 207271, 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