# Stored data for newform 2010.2.a.s, downloaded from the LMFDB on 29 April 2024.
{"label": "2010.2.a.s", "space_label": "2010.2.a", "level": 2010, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326225370, "dim": 4, "is_polredabs": true, "nf_label": "4.4.11324.1", "trace_hash": 1518931782549787345, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [32, -32, -20, 2, 1]], [11, [-160, 88, 14, -10, 1]], [13, [208, -24, -32, 2, 1]], [17, [608, -152, -42, 6, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(-\\beta _{2}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8040, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 16.049930806277356, "hecke_ring_index": 4, "level_radical": 2010, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [2010, 1, [671, 1207, 1141], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5, 67], "conrey_indexes": [1], "field_disc": 11324, "field_disc_factorization": [[2, 2], [19, 1], [149, 1]], "field_poly": [2, 4, -5, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "3.848", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "41.247", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "681.515", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, -1], [67, 1]], "trace_display": [-4, -4, 4, 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