# Stored data for newform 1519.2.a.k, downloaded from the LMFDB on 16 May 2024.
{"label": "1519.2.a.k", "space_label": "1519.2.a", "level": 1519, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307260911, "dim": 13, "is_polredabs": true, "trace_hash": 2128489978775961514, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [21, -108, -48, 705, -475, -875, 758, 332, -387, -17, 76, -9, -5, 1]], [3, [704, 64, -6256, -6976, 3996, 6378, -941, -2281, 99, 391, -4, -32, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{6}q^{3}+(1+\\beta _{2})q^{4}+\\beta _{9}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6076, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 12.12927606703249, "hecke_ring_index": 1, "level_radical": 217, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [1519, 1, [1179, 344], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [7, 31], "conrey_indexes": [1], "field_disc": 3921945258283882801965693, "field_disc_factorization": [[3, 5], [7, 1], [331, 1], [41897287, 1], [166258293469, 1]], "field_poly": [21, -108, -48, 705, -475, -875, 758, 332, -387, -17, 76, -9, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.274", "prec": 17}, {"__RealLiteral__": 0, "data": "11.489", "prec": 20}, {"__RealLiteral__": 0, "data": "20.733", "prec": 20}, {"__RealLiteral__": 0, "data": "402.133", "prec": 24}, {"__RealLiteral__": 0, "data": "1585.735", "prec": 27}, {"__RealLiteral__": 0, "data": "22403.848", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 13, 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