# Stored data for newform 140.6.a.c, downloaded from the LMFDB on 18 April 2024.
{"label": "140.6.a.c", "space_label": "140.6.a", "level": 140, "weight": 6, "hecke_orbit": 3, "hecke_orbit_code": 9007199355404428, "dim": 3, "is_polredabs": true, "nf_label": "3.3.3101016.1", "trace_hash": 110589620334759015, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-2640, -279, 10, 1]]], "qexp_display": "q+(-3-\\beta _{1})q^{3}-5^{2}q^{5}-7^{2}q^{7}+(-23+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5040, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 22.45373477381729, "hecke_ring_index": 4, "level_radical": 70, "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": [140, 1, [71, 57, 101], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 3101016, "field_disc_factorization": [[2, 3], [3, 1], [129209, 1]], "field_poly": [1740, -312, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "2.848", "prec": 17}, {"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "21.199", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "231.811", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [7, 1]], "trace_display": [0, -10, -75, -147], "traces": [0, 3, 0, -10, 0, -75, 0, -147, 0, -71, 0, 58, 0, 148, 0, 250, 0, 1360, 0, 1692, 0, 490, 0, 4204, 0, 1875, 0, 3410, 0, 5572, 0, 2816, 0, 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