# Stored data for newform 648.4.a.l, downloaded from the LMFDB on 24 April 2024.
{"label": "648.4.a.l", "space_label": "648.4.a", "level": 648, "weight": 4, "hecke_orbit": 12, "hecke_orbit_code": 49539595968184968, "dim": 5, "is_polredabs": true, "trace_hash": 2035108165134754676, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [86528, 36176, 1097, -461, -5, 1]]], "qexp_display": "q+(1+\\beta _{2})q^{5}+(1+\\beta _{1})q^{7}+(-5+2\\beta _{2}+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10368, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 38.23323768371992, "hecke_ring_index": 1296, "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": [648, 1, [487, 325, 569], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 248610177, "field_disc_factorization": [[3, 2], [27623353, 1]], "field_poly": [12, 81, 4, -19, -1, 1], "hecke_ring_index_factorization": [[2, 4], [3, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.089", "prec": 17}, {"__RealLiteral__": 0, "data": "4.632", "prec": 17}, {"__RealLiteral__": 0, "data": "0.680", "prec": 17}, {"__RealLiteral__": 0, "data": "56.482", "prec": 20}, {"__RealLiteral__": 0, "data": "11.018", "prec": 20}, {"__RealLiteral__": 0, "data": "1089.911", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1]], "trace_display": [0, 0, 5, 3], "traces": [0, 5, 0, 0, 0, 5, 0, 3, 0, 0, 0, -25, 0, 29, 0, 0, 0, 28, 0, 64, 0, 0, 0, 89, 0, 322, 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