# Stored data for newform 2352.4.a.co, downloaded from the LMFDB on 26 September 2025.
{"Nk2": 37632, "analytic_conductor": 138.77249233350193, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, 1]], "atkin_lehner_string": "+-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [2352, 1, [1471, 1765, 785, 2257], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 391168, "field_disc_factorization": [[2, 11], [191, 1]], "field_poly": [382, 0, -40, 0, 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, [22148, -1456, -300, 8, 1]], [11, [7056, -4704, -232, 40, 1]]], "hecke_orbit": 67, "hecke_orbit_code": 297237575473563952, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 56, "hecke_ring_index_factorization": [[2, 3], [7, 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": "2352.4.a.co", "level": 2352, "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, 3, 7], "level_radical": 42, "minimal_twist": "1176.4.a.z", "nf_label": "4.4.391168.1", "prim_orbit_index": 1, "qexp_display": "q+3q^{3}+(-2-\\beta _{1})q^{5}+9q^{9}+(-10+\\cdots)q^{11}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2352.4.a", "trace_display": [0, 12, -8, 0], "trace_hash": 927097516142454348, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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