# Stored data for newform 9522.2.a.bp, downloaded from the LMFDB on 12 September 2025. {"Nk2": 38088, "analytic_conductor": 76.03355280466319, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [23, 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": [9522, 1, [2117, 1063], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 14641, "field_disc_factorization": [[11, 4]], "field_poly": [-1, 3, 3, -4, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 22, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [-23, -32, 4, 19, 8, 1]], [7, [1, -2, -5, 13, -7, 1]], [11, [331, 148, -89, -23, 5, 1]], [29, [-67, -101, 181, -53, -4, 1]]], "hecke_orbit": 42, "hecke_orbit_code": 184647584755754290, "hecke_ring_generator_nbound": 5, "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": "9522.2.a.bp", "level": 9522, "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": [2, 3, 23], "level_radical": 138, "minimal_twist": "46.2.c.a", "nf_label": "5.5.14641.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}+(-2+\\beta _{1}-\\beta _{4})q^{5}+(1+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9522.2.a", "trace_display": [-5, 0, -8, 7], 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