# Stored data for newform 5819.2.a.o, downloaded from the LMFDB on 16 September 2025.
{"Nk2": 23276, "analytic_conductor": 46.464948936183056, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[11, 1], [23, -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": [5819, 1, [530, 3708], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 18, "field_disc": 7896465578868050272472236523520000, "field_disc_factorization": [[2, 18], [3, 12], [5, 4], [563, 1], [161082868895638441, 1]], "field_poly": [-39, -132, 468, 1554, -1902, -5508, 4387, 8236, -5548, -5930, 3649, 2248, -1295, -460, 251, 48, -25, -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, [-39, -132, 468, 1554, -1902, -5508, 4387, 8236, -5548, -5930, 3649, 2248, -1295, -460, 251, 48, -25, -2, 1]], [5, [-243, 2916, -5589, -39420, 140571, -64272, -188414, 131492, 102781, -76132, -26750, 21388, 3160, -3228, -72, 252, -16, -8, 1]]], "hecke_orbit": 15, "hecke_orbit_code": 63050394816747195, "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": true, "label": "5819.2.a.o", "level": 5819, "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, 23], "level_radical": 253, "minimal_twist": "5819.2.a.n", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{5}q^{3}+(1+\\beta _{2})q^{4}-\\beta _{10}q^{5}+\\cdots", "related_objects": [], 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