# Stored data for newform 504.6.a.l, downloaded from the LMFDB on 10 September 2026.
{"Nk2": 18144, "analytic_conductor": 80.83344518574224, "analytic_rank": 1, "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": [504, 1, [127, 253, 281, 73], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 37, "field_disc_factorization": [[37, 1]], "field_poly": [-9, -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, [-3124, 48, 1]], [11, [-168756, 368, 1]]], "hecke_orbit": 12, "hecke_orbit_code": 49539596001739256, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": true, "label": "504.6.a.l", "level": 504, "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": "504.6.a.l", "nf_label": "2.2.37.1", "prim_orbit_index": 1, "qexp_display": "q+(-24-5\\beta )q^{5}-7^{2}q^{7}+(-184+\\cdots)q^{11}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "504.6.a", "trace_display": [0, 0, -48, -98], "trace_hash": 2169838198730045064, "trace_moments": [0, {"__RealLiteral__": 0, "data": "2.034", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "10.259", "prec": 17}, 0, {"__RealLiteral__": 0, 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