# Stored data for newform 270.4.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "270.4.a.l", "space_label": "270.4.a", "level": 270, "weight": 4, "hecke_orbit": 12, "hecke_orbit_code": 49539595968184590, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1125462651684481670, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-8, 1]], [11, [-18, 1]]], "qexp_display": "q+2q^{2}+4q^{4}+5q^{5}+8q^{7}+8q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4320, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 15.930515701549966, "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": 0, "analytic_rank_proved": true, "char_values": [270, 1, [191, 217], [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": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "1.018", "prec": 17}, {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "2.035", "prec": 17}, {"__RealLiteral__": 0, "data": "0.057", "prec": 17}, {"__RealLiteral__": 0, "data": "5.026", "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": [2, 0, 5, 8], "traces": [0, 1, 2, 0, 4, 5, 0, 8, 8, 0, 10, 18, 0, 8, 16, 0, 16, 15, 0, 23, 20, 0, 36, 63, 0, 25, 16, 0, 32, 156, 0, -85, 32, 0, 30, 40, 0, 74, 46, 0, 40, 246, 0, -190, 72, 0, 126, 288, 0, -279, 50, 0, 32, -177, 0, 90, 64, 0, 312, 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