# Stored data for newform 2366.4.a.s, downloaded from the LMFDB on 06 October 2025.
{"Nk2": 37856, "analytic_conductor": 139.59851907358228, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 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": [2366, 1, [339, 2199], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 155373104604, "field_disc_factorization": [[2, 2], [3, 1], [12947758717, 1]], "field_poly": [-2668, 2074, 122, -95, -1, 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": [[3, [-2668, 2074, 122, -95, -1, 1]], [5, [-81, 15578, 509, -265, -6, 1]]], "hecke_orbit": 19, "hecke_orbit_code": 81064793359780158, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "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": "2366.4.a.s", "level": 2366, "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": [2, 7, 13], "level_radical": 182, "minimal_twist": "182.4.g.b", "prim_orbit_index": 1, "qexp_display": "q-2q^{2}+\\beta _{1}q^{3}+4q^{4}+(1+\\beta _{1}+\\beta _{2}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2366.4.a", "trace_display": [-10, 1, 6, 35], "trace_hash": 1560319741973410399, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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