# Stored data for newform 1859.4.a.e, downloaded from the LMFDB on 23 April 2024.
{"label": "1859.4.a.e", "space_label": "1859.4.a", "level": 1859, "weight": 4, "hecke_orbit": 5, "hecke_orbit_code": 18014398576592707, "dim": 11, "is_polredabs": true, "trace_hash": 2033117611946282250, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [8808, 67420, 130202, 11794, -57357, -7730, 7525, 1134, -368, -59, 6, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(1-\\beta _{5})q^{3}+(6-\\beta _{1}+\\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": 29744, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 109.6845507006718, "hecke_ring_index": 1, "level_radical": 143, "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": [1859, 1, [508, 1354], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [11, 13], "conrey_indexes": [1], "field_disc": 1175437268681019175247997432680984, "field_disc_factorization": [[2, 3], [146929658585127396905999679085123, 1]], "field_poly": [16256, -1672, -90926, 68209, 37082, -16942, -4963, 1564, 268, -64, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.229", "prec": 17}, {"__RealLiteral__": 0, "data": "9.983", "prec": 17}, {"__RealLiteral__": 0, "data": "8.321", "prec": 17}, {"__RealLiteral__": 0, "data": "306.497", "prec": 24}, {"__RealLiteral__": 0, "data": "665.785", "prec": 24}, {"__RealLiteral__": 0, "data": "17092.730", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 11, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[11, 1], [13, 1]], 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