# Stored data for newform 1127.2.a.l, downloaded from the LMFDB on 23 December 2024.
{"Nk2": 4508, "analytic_conductor": 8.9991403077983, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[7, 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": [1127, 1, [346, 442], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 7, "field_disc": 681247753, "field_disc_factorization": [[43, 1], [73, 1], [217027, 1]], "field_poly": [1, -8, 1, 25, -1, -10, 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": [[2, [-1, -8, -1, 25, 1, -10, 0, 1]], [3, [9, -58, 67, 32, -35, -12, 3, 1]]], "hecke_orbit": 12, "hecke_orbit_code": 49539595934631015, "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": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1127.2.a.l", "level": 1127, "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": [7, 23], "level_radical": 161, "minimal_twist": "161.2.e.b", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}-\\beta _{6}q^{3}+(1+\\beta _{1}+\\beta _{3}+\\beta _{5}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 7, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1127.2.a", "trace_display": [0, -3, -4, 0], "trace_hash": 1167662409739233299, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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