# Stored data for newform 7569.2.a.bd, downloaded from the LMFDB on 02 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": 8, "field_disc": 2841328125, "field_disc_factorization": [[3, 4], [5, 7], [449, 1]], "field_poly": [1, 24, 2, -43, 0, 23, -3, -4, 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, -24, 2, 43, 0, -23, -3, 4, 1]], [5, [-29, 86, -33, -72, 45, 17, -13, -1, 1]], [7, [-5, -70, -245, -165, 235, 10, -30, 0, 1]], [19, [-29, 23, 203, -34, -335, -44, 83, -17, 1]]], "hecke_orbit": 30, "hecke_orbit_code": 130604389227306385, "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.bd", "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": "841.2.a.i", "nf_label": "8.8.2841328125.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2})q^{4}+(\\beta _{3}-\\beta _{6})q^{5}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], 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