# Stored data for newform 315.10.a.j, downloaded from the LMFDB on 19 January 2025.
{"Nk2": 31500, "analytic_conductor": 162.23628839162004, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, -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": [315, 1, [281, 127, 136], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 20640809603908344224, "field_disc_factorization": [[2, 5], [11, 1], [31, 1], [347, 1], [503, 1], [10837395197, 1]], "field_poly": [-2721600, 583584, 7420, -1694, -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, [2721600, 583584, -7420, -1694, 2, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396814106939, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 120, "hecke_ring_index_factorization": [[2, 3], [3, 1], [5, 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": "315.10.a.j", "level": 315, "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, 5, 7], "level_radical": 105, "minimal_twist": "35.10.a.d", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(168-4\\beta _{1}+\\beta _{3})q^{4}+5^{4}q^{5}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "315.10.a", "trace_display": [-2, 0, 3125, 12005], "trace_hash": 2302503360923044619, "trace_moments": 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