# Stored data for newform 325.6.a.k, downloaded from the LMFDB on 01 May 2026.
{"Nk2": 11700, "analytic_conductor": 52.1247414392187, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[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": [325, 1, [27, 301], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 11, "field_disc": 32774951727412667559926853673255784408020992, "field_disc_factorization": [[2, 11], [3, 1], [23, 1], [231933252147111834521674406089049651891, 1]], "field_poly": [44115200, -33154496, -23191072, 9571584, 2564400, -751180, -90282, 22234, 1165, -257, -5, 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, [44115200, -33154496, -23191072, 9571584, 2564400, -751180, -90282, 22234, 1165, -257, -5, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45035996374368581, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 1600, "hecke_ring_index_factorization": [[2, 6], [5, 2]], "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": true, "label": "325.6.a.k", "level": 325, "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, 13], "level_radical": 65, "minimal_twist": "325.6.a.j", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{1}-\\beta _{3})q^{3}+(17+\\beta _{2}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 11, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "325.6.a", 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