# Stored data for newform 2057.4.a.e, downloaded from the LMFDB on 18 April 2024.
{"label": "2057.4.a.e", "space_label": "2057.4.a", "level": 2057, "weight": 4, "hecke_orbit": 5, "hecke_orbit_code": 18014398576592905, "dim": 3, "is_polredabs": true, "nf_label": "3.3.2636.1", "trace_hash": 2116999460123852972, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-32, -24, 1, 1]], [3, [204, -62, -4, 1]], [5, [32, -44, 8, 1]]], "qexp_display": "q+(-\\beta _{1}+\\beta _{2})q^{2}+(2-\\beta _{1}+2\\beta _{2})q^{3}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32912, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 121.36692888180845, "hecke_ring_index": 1, "level_radical": 187, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [2057, 1, [970, 122], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [11, 17], "conrey_indexes": [1], "field_disc": 2636, "field_disc_factorization": [[2, 2], [659, 1]], "field_poly": [-4, -14, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.115", "prec": 17}, {"__RealLiteral__": 0, "data": "2.855", "prec": 17}, {"__RealLiteral__": 0, "data": "1.098", "prec": 17}, {"__RealLiteral__": 0, "data": "21.315", "prec": 20}, {"__RealLiteral__": 0, "data": "12.206", "prec": 20}, {"__RealLiteral__": 0, "data": "231.400", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[11, -1], [17, -1]], "trace_display": [-1, 4, -8, -22], "traces": [0, 3, -1, 4, 25, -8, 74, -22, 39, 59, 56, 0, 22, -30, 92, 108, 137, 51, 103, -80, -168, 192, 0, 142, 666, -223, 26, 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