# Stored data for newform 720.6.a.j, downloaded from the LMFDB on 19 April 2024.
{"label": "720.6.a.j", "space_label": "720.6.a", "level": 720, "weight": 6, "hecke_orbit": 10, "hecke_orbit_code": 40532396746998480, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1279377243292389262, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [-172, 1]], [11, [-132, 1]]], "qexp_display": "q-5^{2}q^{5}+172q^{7}+132q^{11}-946q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25920, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 115.47635026534606, "hecke_ring_index": 1, "level_radical": 30, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [720, 1, [271, 181, 641, 577], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.978", "prec": 17}, {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "4.902", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1]], "trace_display": [0, 0, -25, 172], "traces": [0, 1, 0, 0, 0, -25, 0, 172, 0, 0, 0, 132, 0, -946, 0, 0, 0, 222, 0, -500, 0, 0, 0, 3564, 0, 625, 0, 0, 0, -2190, 0, -2312, 0, 0, 0, -4300, 0, -11242, 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