# Stored data for newform 2442.4.a.n, downloaded from the LMFDB on 21 September 2025.
{"Nk2": 39072, "analytic_conductor": 144.08266423401858, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [11, -1], [37, 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": [2442, 1, [815, 1333, 1519], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 12, "field_disc": 2492203068330023007142137665946070297556719616, "field_disc_factorization": [[2, 11], [2713, 1], [2553726728217341, 1], [175642357774455026624999, 1]], "field_poly": [-37088275010, 65348896151, -15280838921, -4379648628, 1339839809, 69190668, -29936318, -397682, 248360, 1205, -849, -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": [[5, [9979078784, 27173172544, -20139276152, 1072879448, 1240188084, -104932652, -25843082, 1530830, 221165, -7175, -805, 10, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795222927754, "hecke_ring_generator_nbound": 19, "hecke_ring_index": 80, "hecke_ring_index_factorization": [[2, 4], [5, 1]], "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": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "2442.4.a.n", "level": 2442, "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": [2, 3, 11, 37], "level_radical": 2442, "minimal_twist": "2442.4.a.n", "prim_orbit_index": 1, "qexp_display": "q-2q^{2}-3q^{3}+4q^{4}+(-1+\\beta _{1})q^{5}+\\cdots", "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "3.2.3.c1", 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