# Stored data for newform 1710.4.a.x, downloaded from the LMFDB on 12 September 2025.
{"Nk2": 27360, "analytic_conductor": 100.89326610981645, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [19, 1]], "atkin_lehner_string": "+--+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1710, 1, [191, 1027, 1351], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 5468, "field_disc_factorization": [[2, 2], [1367, 1]], "field_poly": [-40, -23, 0, 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": [[7, [-16288, -984, 11, 1]], [11, [194816, -2812, -68, 1]]], "hecke_orbit": 24, "hecke_orbit_code": 103582791496631982, "hecke_ring_generator_nbound": 13, "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": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1710.4.a.x", "level": 1710, "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, 3, 5, 19], "level_radical": 570, "minimal_twist": "190.4.a.h", "nf_label": "3.3.5468.1", "prim_orbit_index": 1, "qexp_display": "q-2q^{2}+4q^{4}+5q^{5}+(-4+7\\beta _{1}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1710.4.a", "trace_display": [-6, 0, 15, -11], "trace_hash": 2125367255331503244, "trace_moments": [{"__RealLiteral__": 0, "data": "0.057", "prec": 17}, {"__RealLiteral__": 0, "data": "2.897", 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