# Stored data for newform 7569.2.a.bt, downloaded from the LMFDB on 03 January 2025.
{"Nk2": 30276, "analytic_conductor": 60.43876928990712, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [29, -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": [7569, 1, [5888, 1684], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 12, "field_disc": 98940133243850752, "field_disc_factorization": [[2, 12], [7, 10], [85513, 1]], "field_poly": [1, 6, 2, -38, -30, 90, 55, -90, -30, 38, 2, -6, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [1, 6, -103, 326, -282, -162, 349, -90, -93, 52, 2, -6, 1]], [5, [-27, 234, -591, 74, 1238, -590, -827, 298, 234, -46, -27, 2, 1]], [7, [-83, -878, -2825, -3106, 697, 3826, 2344, -88, -514, -128, 17, 10, 1]], [19, [56113, 131200, -412211, -474560, -54326, 97564, 35104, -2792, -3239, -404, 55, 16, 1]]], "hecke_orbit": 46, "hecke_orbit_code": 202661983265234321, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "7569.2.a.bt", "level": 7569, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 29], "level_radical": 87, "minimal_twist": "87.2.i.a", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{1})q^{2}+(1+\\beta _{2})q^{4}+(\\beta _{1}+\\beta _{4}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 12, "rm_discs": [], 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