# Stored data for newform 4110.2.a.bb, downloaded from the LMFDB on 03 June 2024. {"Nk2": 16440, "analytic_conductor": 32.818515230746236, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 1], [137, 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": [4110, 1, [2741, 2467, 1921], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 1900864, "field_disc_factorization": [[2, 6], [7, 1], [4243, 1]], "field_poly": [-16, 14, 16, -9, -2, 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, [16, 88, 27, -17, -3, 1]], [11, [4, 6, -14, -13, 0, 1]], [13, [148, 280, 111, -21, -7, 1]]], "hecke_orbit": 28, "hecke_orbit_code": 121597189972561934, "hecke_ring_generator_nbound": 17, "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": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "4110.2.a.bb", "level": 4110, "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": true, "level_primes": [2, 3, 5, 137], "level_radical": 4110, "minimal_twist": "4110.2.a.bb", "nf_label": "5.5.1900864.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(1-\\beta _{2}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4110.2.a", "trace_display": [5, 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