# Stored data for newform 1859.2.a.k, downloaded from the LMFDB on 18 April 2024.
{"label": "1859.2.a.k", "space_label": "1859.2.a", "level": 1859, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307261251, "dim": 6, "is_polredabs": true, "nf_label": "6.6.28561300.1", "trace_hash": 1312863665276138999, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, 5, 24, -1, -10, 0, 1]], [7, [-122, 52, 82, -27, -16, 3, 1]]], "qexp_display": "q+\\beta _{2}q^{2}+(-\\beta _{2}-\\beta _{4})q^{3}+(1+\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7436, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 14.844189735756023, "hecke_ring_index": 1, "level_radical": 143, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [1859, 1, [508, 1354], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [11, 13], "conrey_indexes": [1], "field_disc": 28561300, "field_disc_factorization": [[2, 2], [5, 2], [285613, 1]], "field_poly": [-12, 4, 22, -1, -9, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.480", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "82.945", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1933.810", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[11, 1], [13, 1]], "trace_display": [0, 1, -6, -3], "traces": [0, 6, 0, 1, 8, -6, -12, 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