# Stored data for newform 3465.2.a.bl, downloaded from the LMFDB on 23 April 2024.
{"label": "3465.2.a.bl", "space_label": "3465.2.a", "level": 3465, "weight": 2, "hecke_orbit": 38, "hecke_orbit_code": 166633186246266249, "dim": 4, "is_polredabs": true, "nf_label": "4.4.13448.1", "trace_hash": 651495643351519422, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [2, 0, -7, 0, 1]], [13, [40, 72, -2, -8, 1]], [17, [-10, -1, 1]], [19, [-1600, 648, -39, -10, 1]], [23, [-16, 236, -71, -2, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+q^{5}-q^{7}+(2\\beta _{1}+\\cdots)q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13860, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 27.668164300373654, "hecke_ring_index": 2, "level_radical": 1155, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [3465, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7, 11], "conrey_indexes": [1], "field_disc": 13448, "field_disc_factorization": [[2, 3], [41, 2]], "field_poly": [2, 0, -7, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.043", "prec": 17}, {"__RealLiteral__": 0, "data": "3.868", "prec": 17}, {"__RealLiteral__": 0, "data": "0.296", "prec": 17}, {"__RealLiteral__": 0, "data": "42.624", "prec": 20}, {"__RealLiteral__": 0, "data": "3.907", "prec": 17}, {"__RealLiteral__": 0, "data": "692.543", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1], [7, 1], 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