# Stored data for newform 2475.4.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "2475.4.a.l", "space_label": "2475.4.a", "level": 2475, "weight": 4, "hecke_orbit": 12, "hecke_orbit_code": 49539595968186795, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 157329600623247567, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [8, 7, 1]], [7, [-188, -25, 1]], [29, [-9214, -221, 1]]], "qexp_display": "q+(-3-\\beta )q^{2}+(5+7\\beta )q^{4}+(17-9\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39600, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 146.02972726420802, "hecke_ring_index": 1, "level_radical": 165, "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": [2475, 1, [551, 2377, 2026], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.038", "prec": 17}, {"__RealLiteral__": 0, "data": "1.981", "prec": 17}, {"__RealLiteral__": 0, "data": "0.273", "prec": 17}, {"__RealLiteral__": 0, "data": "9.919", "prec": 17}, {"__RealLiteral__": 0, "data": "2.139", "prec": 17}, {"__RealLiteral__": 0, "data": "67.513", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [11, -1]], "trace_display": [-7, 0, 0, 25], "traces": [0, 2, -7, 0, 17, 0, 0, 25, -63, 0, 0, 22, 0, 50, -11, 0, 297, -151, 0, -3, 0, 0, -77, 48, 0, 0, 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