# Stored data for newform 1071.2.a.n, downloaded from the LMFDB on 10 June 2024.
{"Nk2": 4284, "analytic_conductor": 8.551978056479129, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [7, 1], [17, -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": [1071, 1, [596, 766, 190], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 1224176, "field_disc_factorization": [[2, 4], [76511, 1]], "field_poly": [-2, 2, 8, -5, -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": [[2, [-2, 2, 8, -5, -2, 1]], [11, [-36, -56, 71, -5, -7, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795189371951, "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_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1071.2.a.n", "level": 1071, "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": [3, 7, 17], "level_radical": 357, "minimal_twist": "1071.2.a.l", "nf_label": "5.5.1224176.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2})q^{4}+(1-\\beta _{3})q^{5}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1071.2.a", "trace_display": [2, 0, 3, -5], "trace_hash": 263846071498815003, "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, 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