# Stored data for newform 3822.2.a.bv, downloaded from the LMFDB on 23 April 2024.
{"label": "3822.2.a.bv", "space_label": "3822.2.a", "level": 3822, "weight": 2, "hecke_orbit": 48, "hecke_orbit_code": 211669182519971566, "dim": 3, "is_polredabs": true, "nf_label": "3.3.2700.1", "trace_hash": 1228156409680163958, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [34, -12, -3, 1]], [11, [-89, -27, 3, 1]], [17, [382, -63, -6, 1]], [29, [3, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+(1-\\beta _{1})q^{5}+q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15288, "fricke_eigenval": -1, "atkin_lehner_string": "+++-", "analytic_conductor": 30.518823652533364, "hecke_ring_index": 1, "level_radical": 546, "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": "0.029", "prec": 17}, "analytic_rank_proved": true, "char_values": [3822, 1, [2549, 3433, 1471], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 13], "conrey_indexes": [1], "field_disc": 2700, "field_disc_factorization": [[2, 2], [3, 3], [5, 2]], "field_poly": [-20, -15, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.052", "prec": 17}, {"__RealLiteral__": 0, "data": "2.847", "prec": 17}, {"__RealLiteral__": 0, "data": "0.646", "prec": 17}, {"__RealLiteral__": 0, "data": "22.448", "prec": 20}, {"__RealLiteral__": 0, "data": "8.135", "prec": 17}, {"__RealLiteral__": 0, "data": "265.369", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, 1], [13, -1]], "trace_display": [-3, -3, 3, 0], "traces": [0, 3, -3, -3, 3, 3, 3, 0, -3, 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