# Stored data for newform 5733.2.a.v, downloaded from the LMFDB on 04 October 2024. {"Nk2": 22932, "analytic_conductor": 45.77823547880004, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [7, 1], [13, 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": [5733, 1, [2549, 1522, 5293], [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": [[2, [1, -3, 1]], [5, [-5, 0, 1]], [11, [-3, 1]], [17, [-11, -6, 1]], [19, [-3, 1]], [31, [-5, 1]]], "hecke_orbit": 22, "hecke_orbit_code": 94575592208340581, "hecke_ring_generator_nbound": 2, "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": "5733.2.a.v", "level": 5733, "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": [3, 7, 13], "level_radical": 273, "minimal_twist": "91.2.e.b", "nf_label": "2.2.5.1", "prim_orbit_index": 1, "qexp_display": "q+(1+\\beta )q^{2}+3\\beta q^{4}+(1-2\\beta )q^{5}+(1+\\cdots)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": "5733.2.a", "trace_display": [3, 0, 0, 0], "trace_hash": 635556762753302150, 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