# Stored data for newform 8330.2.a.be, downloaded from the LMFDB on 13 September 2025.
{"Nk2": 33320, "analytic_conductor": 66.51538488372655, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, -1], [7, -1], [17, 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": [8330, 1, [1667, 2551, 2451], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 10, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-1, 1, 1]], [11, [-9, 3, 1]], [13, [-16, 4, 1]], [19, [-1, 1, 1]]], "hecke_orbit": 31, "hecke_orbit_code": 135107988854677642, "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": "8330.2.a.be", "level": 8330, "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, 17], "level_radical": 1190, "minimal_twist": "1190.2.a.h", "nf_label": "2.2.5.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}-\\beta q^{3}+q^{4}+q^{5}+\\beta q^{6}-q^{8}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8330.2.a", "trace_display": [-2, -1, 2, 0], "trace_hash": 1599149122303339421, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.043", 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