# Stored data for newform 2001.2.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "2001.2.a.l", "space_label": "2001.2.a", "level": 2001, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934631889, "dim": 11, "is_polredabs": true, "trace_hash": 329021554756589515, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-108, -369, -93, 634, 285, -408, -152, 124, 30, -18, -2, 1]], [5, [-8, -764, -470, 1499, 896, -862, -387, 233, 53, -27, -2, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(2+\\beta _{2})q^{4}-\\beta _{4}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8004, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 15.978065444458204, "hecke_ring_index": 3, "level_radical": 2001, "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": [2001, 1, [668, 1132, 553], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 23, 29], "conrey_indexes": [1], "field_disc": 9072068811171116644, "field_disc_factorization": [[2, 2], [3257, 1], [696351612770273, 1]], "field_poly": [-108, -369, -93, 634, 285, -408, -152, 124, 30, -18, -2, 1], "hecke_ring_index_factorization": [[3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "9.646", "prec": 17}, {"__RealLiteral__": 0, "data": "2.508", "prec": 17}, {"__RealLiteral__": 0, "data": "308.171", "prec": 24}, {"__RealLiteral__": 0, "data": "326.046", "prec": 24}, {"__RealLiteral__": 0, "data": "17326.220", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 11, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": 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