# Stored data for newform 7595.2.a.w, downloaded from the LMFDB on 14 June 2024. {"Nk2": 30380, "analytic_conductor": 60.646380335162455, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, -1], [7, -1], [31, 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": [7595, 1, [6077, 5736, 4901], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 11, "field_disc": 312418029534319616, "field_disc_factorization": [[2, 10], [47779, 1], [6385561271, 1]], "field_poly": [2, -14, 4, 90, -2, -130, 0, 67, 0, -14, 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, [-2, -14, -4, 90, 2, -130, 0, 67, 0, -14, 0, 1]], [3, [-2, -12, 6, 86, -25, -133, 25, 73, -9, -15, 1, 1]], [11, [2458, 6412, 730, -11098, -10039, -325, 2575, 627, -161, -49, 3, 1]]], "hecke_orbit": 23, "hecke_orbit_code": 99079191835712939, "hecke_ring_generator_nbound": 3, "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": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "7595.2.a.w", "level": 7595, "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": [5, 7, 31], "level_radical": 1085, "minimal_twist": "7595.2.a.w", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+\\beta _{3}q^{3}+(1+\\beta _{2}+\\beta _{3})q^{4}+\\cdots", "related_objects": [], "relative_dim": 11, "rm_discs": [], "sato_tate_group": "1.2.3.c1", 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