# Stored data for newform 252.8.a.g, downloaded from the LMFDB on 13 March 2026.
{"Nk2": 16128, "analytic_conductor": 78.72102642199869, "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": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [252, 1, [127, 29, 73], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 65021667482044, "field_disc_factorization": [[2, 2], [7, 2], [13, 1], [17, 2], [43, 1], [1433, 2]], "field_poly": [5027477, 540043, -14292, -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": 1, "hecke_cutters": [[5, [10956400, 0, -288512, 0, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597898440956, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 2304, "hecke_ring_index_factorization": [[2, 8], [3, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], "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": "252.8.a.g", "level": 252, "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": "252.8.a.g", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{5}-7^{3}q^{7}+(-5\\beta _{1}+\\beta _{3})q^{11}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "252.8.a", "trace_display": [0, 0, 0, -1372], "trace_hash": 813947183820790044, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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