# Stored data for newform 1870.2.a.v, downloaded from the LMFDB on 02 May 2024.
{"label": "1870.2.a.v", "space_label": "1870.2.a", "level": 1870, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208336718, "dim": 5, "is_polredabs": true, "nf_label": "5.5.3102944.1", "trace_hash": 1670382424593249888, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [32, 32, -11, -13, 1, 1]], [7, [96, -16, -62, 4, 8, 1]], [13, [596, 216, -99, -33, 3, 1]]], "qexp_display": "q-q^{2}+\\beta _{3}q^{3}+q^{4}-q^{5}-\\beta _{3}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7480, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 14.932025177979432, "hecke_ring_index": 2, "level_radical": 1870, "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": {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [1870, 1, [1497, 1531, 1431], [1, 1, 1]], "hecke_ring_generator_nbound": 19, "inner_twist_count": 1, "level_primes": [2, 5, 11, 17], "conrey_indexes": [1], "field_disc": 3102944, "field_disc_factorization": [[2, 5], [13, 1], [7459, 1]], "field_poly": [2, -14, 27, -13, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "4.628", "prec": 17}, {"__RealLiteral__": 0, "data": "1.099", "prec": 17}, {"__RealLiteral__": 0, "data": "58.669", "prec": 20}, {"__RealLiteral__": 0, "data": "39.906", "prec": 20}, {"__RealLiteral__": 0, "data": "1101.606", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [11, -1], [17, 1]], "trace_display": [-5, -1, -5, 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