# Stored data for newspace 539.2.a, downloaded from the LMFDB on 18 April 2024. {"label": "539.2.a", "level": 539, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 112, "dim": 34, "eis_dim": 15, "eis_new_dim": 0, "cusp_dim": 49, "mf_dim": 64, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 3, "num_forms": 12, "Nk2": 2156, "plus_dim": 10, "AL_dims": [[[[7, -1], [11, -1]], 5, 3], [[[7, -1], [11, 1]], 11, 5], [[[7, 1], [11, 1]], 5, 2], [[[7, 1], [11, -1]], 13, 2]], "analytic_conductor": 4.303936668947013, "level_radical": 77, "mf_new_dim": 34, "char_values": [539, 1, [199, 442], [1, 1]], "hecke_orbit_dims": [1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 10], "trace_display": [1, -1, 3, 0], "traces": [34, 1, -1, 37, 3, 6, 0, 3, 31, 4, 2, -6, -2, 0, -5, 39, 4, 7, 0, 12, 0, 1, -1, 16, 43, -6, -7, 0, -10, -46, -13, -33, -1, 2, 0, 15, 33, -20, 16, -6, 18, 0, -6, 1, 28, -26, -16, 8, 0, 5, -22, -26, 44, 34, -1, 0, -8, 6, -3, -34, 10, -6, 0, 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248, 86, -225, 168, -23, 0, 350, -444, -165, 108, 2, 84, 0, -284, 294, 38, 316, -76, -91, 0, -8, 320, -52, -280, 11, 36], "hecke_cutter_primes": [2, 3], "level_primes": [7, 11], "relative_dim": 34, "hecke_orbit_code": 33554971, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [5, 13, 11, 5], "newforms": ["539.2.a.a", "539.2.a.b", "539.2.a.c", "539.2.a.d", "539.2.a.e", "539.2.a.f", "539.2.a.g", "539.2.a.h", "539.2.a.i", "539.2.a.j", "539.2.a.k", "539.2.a.l"], "oldspaces": [[11, 1, 1, 3], [49, 1, 1, 2], [77, 1, 1, 2]]}