# Stored data for newform 560.6.a.k, downloaded from the LMFDB on 15 December 2025.
{"Nk2": 20160, "analytic_conductor": 89.81493909526915, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, -1], [7, 1]], "atkin_lehner_string": "--+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [560, 1, [351, 421, 337, 241], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 1129, "field_disc_factorization": [[1129, 1]], "field_poly": [-282, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-276, 5, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45035996374368816, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "560.6.a.k", "level": 560, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 7], "level_radical": 70, "minimal_twist": "70.6.a.h", "nf_label": "2.2.1129.1", "prim_orbit_index": 1, "qexp_display": "q+(-2-\\beta )q^{3}+5^{2}q^{5}-7^{2}q^{7}+(43+\\cdots)q^{9}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "560.6.a", "trace_display": [0, -5, 50, -98], "trace_hash": 5873808450143224, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.978", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.544", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "64.390", "prec": 20}], "trace_zratio": 0, "traces": [0, 2, 0, -5, 0, 50, 0, -98, 0, 91, 0, -415, 0, 429, 0, -125, 0, 1319, 0, -1918, 0, 245, 0, 1334, 0, 1250, 0, -1835, 0, -1131, 0, 5472, 0, -6301, 0, -2450, 0, -9156, 0, 5137, 0, -7822, 0, -2078, 0, 2275, 0, 8507, 0, 4802, 0, 33395, 0, -34242, 0, -10375, 0, -59558, 0, -6952, 0, -45138, 0, -4459, 0, 10725, 0, 54556, 0, 51986, 0, 62272, 0, 40896, 0, -3125, 0, 20335, 0, -62069, 0, -121958, 0, -189600, 0, 32975, 0, -49671, 0, 64190, 0, -21021, 0, 239216, 0, -47950, 0, 155547, 0, 17810, 0, -122328, 0, -335641, 0, 6125, 0, -169294, 0, -135861, 0, -67430, 0, -6860, 0, 33350, 0, -11528, 0, -64631, 0, -140589, 0, -47056, 0, 31250, 0, 284140, 0, -637206, 0, 64038, 0, 93982, 0, -45875, 0, -18194, 0, 962, 0, -838099, 0, -169741, 0, -28275, 0, -12005, 0, 40152, 0, 339035, 0, -123448, 0, 136800, 0, -595688, 0, 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