# Stored data for newform 36.20.a.e, downloaded from the LMFDB on 17 May 2024.
{"label": "36.20.a.e", "space_label": "36.20.a", "level": 36, "weight": 20, "hecke_orbit": 5, "hecke_orbit_code": 18014398845026340, "dim": 2, "is_polredabs": true, "trace_hash": 336220975628919287, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-36694904269500, -3267108, 1]]], "qexp_display": "q+(1633554-\\beta )q^{5}+(-13511992+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14400, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 82.37401076029707, "hecke_ring_index": 6912, "level_radical": 6, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [36, 1, [19, 29], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 3295681, "field_disc_factorization": [[59, 1], [83, 1], [673, 1]], "field_poly": [-823920, -1, 1], "hecke_ring_index_factorization": [[2, 8], [3, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "1.919", "prec": 17}, {"__RealLiteral__": 0, "data": "0.091", "prec": 17}, {"__RealLiteral__": 0, "data": "9.369", "prec": 17}, {"__RealLiteral__": 0, "data": "1.819", "prec": 17}, {"__RealLiteral__": 0, "data": "66.299", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "19.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1]], "trace_display": [0, 0, 3267108, -27023984], "traces": [0, 2, 0, 0, 0, 3267108, 0, -27023984, 0, 0, 0, -10681966152, 0, 33667969900, 0, 0, 0, 262726145244, 0, 435317828920, 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