# Stored data for newform 2667.2.a.o, downloaded from the LMFDB on 03 September 2025. {"Nk2": 10668, "analytic_conductor": 21.29610221907548, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [7, 1], [127, -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": [2667, 1, [890, 1144, 2416], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 16, "field_disc": 3925253247562629319229522462576, "field_disc_factorization": [[2, 4], [331, 1], [1049, 1], [479041, 1], [1474930415904160909, 1]], "field_poly": [4, -148, 416, 1002, -3341, -158, 5821, -2747, -3082, 2282, 565, -712, 9, 98, -13, -5, 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, -148, 416, 1002, -3341, -158, 5821, -2747, -3082, 2282, 565, -712, 9, 98, -13, -5, 1]], [5, [-27136, -208768, -344128, 359328, 542544, -232104, -316420, 73336, 91364, -12600, -14371, 1185, 1249, -56, -56, 1, 1]]], "hecke_orbit": 15, "hecke_orbit_code": 63050394816744043, "hecke_ring_generator_nbound": 17, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "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": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "2667.2.a.o", "level": 2667, "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": [3, 7, 127], "level_radical": 2667, "minimal_twist": "2667.2.a.o", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(1+\\beta 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