# Stored data for newform 588.6.a.n, downloaded from the LMFDB on 12 November 2024. {"Nk2": 21168, "analytic_conductor": 94.3056860500326, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, 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": [588, 1, [295, 197, 493], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 71560568444, "field_disc_factorization": [[2, 2], [3229, 1], [5540459, 1]], "field_poly": [59664, -686, -699, -2, 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": [[5, [10763676, 82500, -8977, 0, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795256480332, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 504, "hecke_ring_index_factorization": [[2, 3], [3, 2], [7, 1]], "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": "588.6.a.n", "level": 588, "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, 7], "level_radical": 42, "minimal_twist": "84.6.i.c", "prim_orbit_index": 1, "qexp_display": "q-9q^{3}-\\beta _{2}q^{5}+3^{4}q^{9}+(116+\\beta _{1}+\\cdots)q^{11}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "588.6.a", "trace_display": [0, -36, 0, 0], "trace_hash": 985587827081326106, "trace_moments": [{"__RealLiteral__": 0, 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