# Stored data for newform 304.8.a.i, downloaded from the LMFDB on 15 November 2024.
{"Nk2": 19456, "analytic_conductor": 94.96504774717302, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [19, 1]], "atkin_lehner_string": "-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [304, 1, [191, 229, 97], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 1240243159287613763689517196, "field_disc_factorization": [[2, 2], [3, 2], [19, 1], [1381, 1], [279913, 1], [4690660395896173, 1]], "field_poly": [-6276171312, -280013424, 16275767, 135458, -8376, -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": [[3, [-7412317344, -43655400, 16686996, -93190, -7711, 40, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36028797153182000, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 64, "hecke_ring_index_factorization": [[2, 6]], "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": false, "label": "304.8.a.i", "level": 304, "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, 19], "level_radical": 38, "minimal_twist": "76.8.a.b", "prim_orbit_index": 1, "qexp_display": "q+(-7+\\beta _{1})q^{3}+(47-\\beta _{1}-\\beta _{2})q^{5}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "304.8.a", "trace_display": [0, -40, 279, 1565], "trace_hash": 1960989760390352214, "trace_moments": [{"__RealLiteral__": 0, 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