# Stored data for newform 704.6.a.e, downloaded from the LMFDB on 19 April 2024.
{"label": "704.6.a.e", "space_label": "704.6.a", "level": 704, "weight": 6, "hecke_orbit": 5, "hecke_orbit_code": 18014398610145984, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2000790519479906679, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [1, 1]]], "qexp_display": "q-q^{3}+51q^{5}-166q^{7}-242q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25344, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 112.91020914833837, "hecke_ring_index": 1, "level_radical": 22, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [704, 1, [639, 133, 321], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "0.981", "prec": 17}, {"__RealLiteral__": 0, "data": "0.085", "prec": 17}, {"__RealLiteral__": 0, "data": "1.976", "prec": 17}, {"__RealLiteral__": 0, "data": "0.228", "prec": 17}, {"__RealLiteral__": 0, "data": "4.965", "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], [11, -1]], "trace_display": [0, -1, 51, -166], "traces": [0, 1, 0, -1, 0, 51, 0, -166, 0, -242, 0, 121, 0, -692, 0, -51, 0, -738, 0, -1424, 0, 166, 0, -1779, 0, -524, 0, 485, 0, 2064, 0, 6245, 0, -121, 0, -8466, 0, 14785, 0, 692, 0, 5304, 0, -17798, 0, 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