# Stored data for newform 1680.4.a.bg, downloaded from the LMFDB on 16 September 2024.
{"Nk2": 26880, "analytic_conductor": 99.12320880964423, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 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": [1680, 1, [1471, 421, 1121, 337, 241], [1, 1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 65, "field_disc_factorization": [[5, 1], [13, 1]], "field_poly": [-16, -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": [[11, [56, -22, 1]], [13, [56, 22, 1]], [17, [-796, -116, 1]]], "hecke_orbit": 33, "hecke_orbit_code": 144115188142966416, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "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": "1680.4.a.bg", "level": 1680, "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, 7], "level_radical": 210, "minimal_twist": "105.4.a.f", "nf_label": "2.2.65.1", "prim_orbit_index": 1, "qexp_display": "q-3q^{3}+5q^{5}+7q^{7}+9q^{9}+(11-\\beta )q^{11}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1680.4.a", "trace_display": [0, -6, 10, 14], "trace_hash": 458757412960063281, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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