# Stored data for newform 2160.4.a.bt, downloaded from the LMFDB on 25 April 2024.
{"label": "2160.4.a.bt", "space_label": "2160.4.a", "level": 2160, "weight": 4, "hecke_orbit": 46, "hecke_orbit_code": 202661983298783344, "dim": 3, "is_polredabs": true, "nf_label": "3.3.697.1", "trace_hash": 56209291031847647, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [3560, -108, -24, 1]], [11, [44648, -3480, 6, 1]]], "qexp_display": "q+5q^{5}+(8+\\beta _{2})q^{7}+(-2+\\beta _{1}-3\\beta _{2})q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34560, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 127.44412561239973, "hecke_ring_index": 72, "level_radical": 30, "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": [2160, 1, [271, 1621, 2081, 1297], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 697, "field_disc_factorization": [[17, 1], [41, 1]], "field_poly": [-5, -7, 0, 1], "hecke_ring_index_factorization": [[2, 3], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "2.844", "prec": 17}, {"__RealLiteral__": 0, "data": "0.166", "prec": 17}, {"__RealLiteral__": 0, "data": "21.597", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "240.867", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1]], "trace_display": [0, 0, 15, 24], "traces": [0, 3, 0, 0, 0, 15, 0, 24, 0, 0, 0, -6, 0, 48, 0, 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