# Stored data for newform 546.6.a.q, downloaded from the LMFDB on 30 May 2026.
{"Nk2": 19656, "analytic_conductor": 87.56956561788742, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -1], [13, -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": [546, 1, [365, 157, 379], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 116560616, "field_disc_factorization": [[2, 3], [43, 1], [338839, 1]], "field_poly": [-46440, -2752, -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": [[5, [-62772, -2656, 17, 1]], [11, [17778288, -183016, -178, 1]]], "hecke_orbit": 17, "hecke_orbit_code": 72057594138591778, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 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": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "546.6.a.q", "level": 546, "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, 3, 7, 13], "level_radical": 546, "minimal_twist": "546.6.a.q", "prim_orbit_index": 1, "qexp_display": "q-4q^{2}+9q^{3}+2^{4}q^{4}+(-6+\\beta _{1}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "546.6.a", "trace_display": [-12, 27, -17, 147], "trace_hash": 906223998965358657, "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": 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