# Stored data for newform 1440.4.a.n, downloaded from the LMFDB on 25 April 2024.
{"label": "1440.4.a.n", "space_label": "1440.4.a", "level": 1440, "weight": 4, "hecke_orbit": 14, "hecke_orbit_code": 58546795222926752, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1265031740505019285, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [6, 1]], [11, [-60, 1]], [17, [-30, 1]]], "qexp_display": "q+5q^{5}-6q^{7}+60q^{11}+50q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 23040, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 84.96275040826649, "hecke_ring_index": 1, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [1440, 1, [991, 901, 641, 577], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.861", "prec": 17}, {"__RealLiteral__": 0, "data": "0.056", "prec": 17}, {"__RealLiteral__": 0, "data": "4.536", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1]], "trace_display": [0, 0, 5, -6], "traces": [0, 1, 0, 0, 0, 5, 0, -6, 0, 0, 0, 60, 0, 50, 0, 0, 0, 30, 0, -40, 0, 0, 0, 178, 0, 25, 0, 0, 0, -166, 0, -20, 0, 0, 0, -30, 0, 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