# Stored data for newform 4761.2.a.l, downloaded from the LMFDB on 22 May 2024.
{"Nk2": 19044, "analytic_conductor": 38.016776402331594, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [23, -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": [4761, 1, [2117, 1063], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 12, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-2, 2, 1]], [5, [-2, 2, 1]], [7, [1, 4, 1]]], "hecke_orbit": 12, "hecke_orbit_code": 49539595934634649, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "4761.2.a.l", "level": 4761, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 23], "level_radical": 69, "minimal_twist": "1587.2.a.k", "nf_label": "2.2.12.1", "prim_orbit_index": 1, "qexp_display": "q+(-1+\\beta )q^{2}+(2-2\\beta )q^{4}+(-1+\\beta )q^{5}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4761.2.a", "trace_display": [-2, 0, -2, -4], "trace_hash": 1035674148714695755, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.959", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.421", 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