# Stored data for newform 650.6.a.j, downloaded from the LMFDB on 08 December 2024.
{"Nk2": 23400, "analytic_conductor": 104.2494828784374, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, 1], [13, 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": [650, 1, [27, 301], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 1458804, "field_disc_factorization": [[2, 2], [3, 1], [17, 1], [7151, 1]], "field_poly": [-1139, -361, -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": 0, "hecke_cutters": [[3, [996, -200, -22, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396746998410, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 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": "650.6.a.j", "level": 650, "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, 5, 13], "level_radical": 130, "minimal_twist": "130.6.a.f", "nf_label": "3.3.1458804.1", "prim_orbit_index": 1, "qexp_display": "q+4q^{2}+(7+\\beta _{1})q^{3}+2^{4}q^{4}+(28+4\\beta _{1}+\\cdots)q^{6}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "650.6.a", "trace_display": [12, 22, 0, 234], "trace_hash": 274900290569089354, "trace_moments": [{"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "2.874", "prec": 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