# Stored data for newform 3703.2.a.j, downloaded from the LMFDB on 25 April 2024.
{"label": "3703.2.a.j", "space_label": "3703.2.a", "level": 3703, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679892599, "dim": 5, "is_polredabs": true, "nf_label": "5.5.2147108.1", "trace_hash": 878987408931367347, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-27, 16, 17, -9, -2, 1]], [5, [-168, 52, 54, -14, -4, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{3}q^{3}+(2+\\beta _{2})q^{4}+(1+\\beta _{4})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14812, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 29.568603868480125, "hecke_ring_index": 1, "level_radical": 161, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [3703, 1, [2117, 3179], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [7, 23], "conrey_indexes": [1], "field_disc": 2147108, "field_disc_factorization": [[2, 2], [536777, 1]], "field_poly": [-27, 16, 17, -9, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.112", "prec": 17}, {"__RealLiteral__": 0, "data": "4.749", "prec": 17}, {"__RealLiteral__": 0, "data": "1.157", "prec": 17}, {"__RealLiteral__": 0, "data": "67.919", "prec": 20}, {"__RealLiteral__": 0, "data": "19.198", "prec": 20}, {"__RealLiteral__": 0, "data": "1595.990", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[7, 1], [23, -1]], "trace_display": [2, 0, 4, -5], "traces": [0, 5, 2, 0, 12, 4, -3, -5, 3, 11, 8, 4, 3, -6, -2, 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