# Stored data for newform 8820.2.a.bi, downloaded from the LMFDB on 03 June 2024.
{"Nk2": 35280, "analytic_conductor": 70.42805458276929, "analytic_rank": 0, "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": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [8820, 1, [4411, 7841, 7057, 1081], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 8, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[11, [-4, 4, 1]], [13, [0, 1]], [17, [-8, 0, 1]], [31, [14, 8, 1]]], "hecke_orbit": 35, "hecke_orbit_code": 153122387364160116, "hecke_ring_generator_nbound": 19, "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": "8820.2.a.bi", "level": 8820, "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": "2940.2.a.n", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q+q^{5}+(-2+2\\beta )q^{11}+2\\beta q^{17}+\\beta q^{19}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8820.2.a", "trace_display": [0, 0, 2, 0], "trace_hash": 1709490164141178779, "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "1.983", 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