# Stored data for newform 158.6.a.c, downloaded from the LMFDB on 03 June 2026.
{"Nk2": 5688, "analytic_conductor": 25.34064353045094, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [79, 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": [158, 1, [3], [1]], "cm_discs": [], "conrey_index": 1, "dim": 7, "field_disc": 9949263306524446391109, "field_disc_factorization": [[3, 4], [7, 1], [37, 1], [43, 1], [11029039345574197, 1]], "field_poly": [-916096, -123584, 148738, 29651, -1337, -424, -1, 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": [[3, [-73268496, -16645608, 1789416, 270094, -9189, -1067, 9, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199355404446, "hecke_ring_generator_nbound": 17, "hecke_ring_index": 48, "hecke_ring_index_factorization": [[2, 4], [3, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "158.6.a.c", "level": 158, "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": true, "level_primes": [2, 79], "level_radical": 158, "minimal_twist": "158.6.a.c", "prim_orbit_index": 1, "qexp_display": "q-4q^{2}+(-1-\\beta _{1})q^{3}+2^{4}q^{4}+(4+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 7, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "158.6.a", "trace_display": [-28, -9, 31, -235], "trace_hash": 2185479335304628315, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", 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