# Stored data for newform 2010.2.a.r, downloaded from the LMFDB on 25 April 2024.
{"label": "2010.2.a.r", "space_label": "2010.2.a", "level": 2010, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698854874, "dim": 4, "is_polredabs": true, "nf_label": "4.4.70292.1", "trace_hash": 865981607764145273, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[7, [52, 12, -20, -1, 1]], [11, [112, -32, -20, 3, 1]], [13, [-8, 28, -20, -2, 1]], [17, [32, -80, -32, 2, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+\\beta _{1}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": 2, "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": "0.007", "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": 70292, "field_disc_factorization": [[2, 2], [17573, 1]], "field_poly": [2, 10, -8, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.941", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "43.008", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "707.334", "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, 1], "traces": [0, 4, 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