# Stored data for newform 2304.4.a.q, downloaded from the LMFDB on 08 December 2024. {"Nk2": 36864, "analytic_conductor": 135.94040065322636, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 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": [2304, 1, [1279, 2053, 1793], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 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": 1, "hecke_cutters": [[5, [6, 1]], [7, [-448, 0, 1]], [11, [-1792, 0, 1]], [13, [20, 1]], [17, [8, 1]], [19, [-7168, 0, 1]]], "hecke_orbit": 17, "hecke_orbit_code": 72057594105039104, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], "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": "2304.4.a.q", "level": 2304, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "1152.4.d.k", "nf_label": "2.2.28.1", "prim_orbit_index": 1, "qexp_display": "q-6q^{5}-\\beta q^{7}-2\\beta q^{11}-20q^{13}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2304.4.a", "trace_display": [0, 0, -12, 0], "trace_hash": 2287019718360653350, 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