# Stored data for newform 2299.2.a.n, downloaded from the LMFDB on 18 June 2025. {"Nk2": 9196, "analytic_conductor": 18.35760742469236, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[11, -1], [19, -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": [2299, 1, [970, 1332], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 246832, "field_disc_factorization": [[2, 4], [15427, 1]], "field_poly": [-2, 7, 6, -5, -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": [[2, [4, 5, -10, -6, 2, 1]], [3, [-1, 7, 11, -9, -1, 1]], [7, [-64, -119, -62, -1, 6, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795189373179, "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": "2299.2.a.n", "level": 2299, "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": [11, 19], "level_radical": 209, "minimal_twist": "209.2.a.c", "nf_label": "5.5.246832.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{2}q^{2}+\\beta _{3}q^{3}+(\\beta _{1}+\\beta _{2}+\\beta _{3}+\\beta _{4})q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2299.2.a", "trace_display": [-2, 1, -5, -6], "trace_hash": 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