# Stored data for newform 1911.2.a.s, downloaded from the LMFDB on 19 April 2024.
{"label": "1911.2.a.s", "space_label": "1911.2.a", "level": 1911, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326225271, "dim": 4, "is_polredabs": true, "nf_label": "4.4.17428.1", "trace_hash": 1877146129967578418, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [6, 5, -7, -1, 1]], [5, [24, 20, -10, -3, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(2+\\beta _{2})q^{4}+(1+\\beta _{2}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7644, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 15.259411826266682, "hecke_ring_index": 2, "level_radical": 273, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [1911, 1, [638, 1522, 1471], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 13], "conrey_indexes": [1], "field_disc": 17428, "field_disc_factorization": [[2, 2], [4357, 1]], "field_poly": [6, 4, -6, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.042", "prec": 17}, {"__RealLiteral__": 0, "data": "3.759", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "38.930", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "611.114", "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], [7, -1], [13, 1]], "trace_display": [1, -4, 3, 0], "traces": [0, 4, 1, -4, 7, 3, -1, 0, 3, 4, 4, -2, -7, -4, 0, -3, 9, 2, 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