# Stored data for newform 4730.2.a.v, downloaded from the LMFDB on 25 April 2024.
{"label": "4730.2.a.v", "space_label": "4730.2.a", "level": 4730, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208339578, "dim": 5, "is_polredabs": true, "nf_label": "5.5.220036.1", "trace_hash": 1441321134651813760, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, -2, 11, -5, -2, 1]], [7, [-19, -52, -33, 3, 6, 1]], [13, [8, -40, 30, 42, 12, 1]]], "qexp_display": "q+q^{2}+\\beta _{1}q^{3}+q^{4}-q^{5}+\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 18920, "fricke_eigenval": 1, "atkin_lehner_string": "-+-+", "analytic_conductor": 37.76924015606562, "hecke_ring_index": 1, "level_radical": 4730, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [4730, 1, [947, 431, 1981], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 11, 43], "conrey_indexes": [1], "field_disc": 220036, "field_disc_factorization": [[2, 2], [55009, 1]], "field_poly": [-1, -2, 11, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.644", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61.510", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1301.872", "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], [43, 1]], "trace_display": [5, 2, -5, -6], "traces": [0, 5, 5, 2, 5, -5, 2, 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