# Stored data for newform 2667.2.a.j, downloaded from the LMFDB on 16 April 2024.
{"label": "2667.2.a.j", "space_label": "2667.2.a", "level": 2667, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679891563, "dim": 7, "is_polredabs": true, "nf_label": "7.7.118870813.1", "trace_hash": 1516598069005129994, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [2, -11, 9, 14, -11, -7, 2, 1]], [5, [-5, -46, -138, -149, -42, 13, 8, 1]]], "qexp_display": "q+\\beta _{4}q^{2}+q^{3}+(\\beta _{1}+\\beta _{2}+\\beta _{3}-\\beta _{4}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10668, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 21.29610221907548, "hecke_ring_index": 1, "level_radical": 2667, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [2667, 1, [890, 1144, 2416], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 127], "conrey_indexes": [1], "field_disc": 118870813, "field_disc_factorization": [[8087, 1], [14699, 1]], "field_poly": [-4, -13, 7, 20, -3, -9, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.199", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "112.172", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3188.268", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [127, 1]], "trace_display": [-2, 7, -8, 7], 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