# Stored data for newform 104.10.a.d, downloaded from the LMFDB on 04 September 2025.
{"Nk2": 10400, "analytic_conductor": 53.5637269610428, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 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": [104, 1, [79, 53, 41], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 3613815187269817663017381311533076685388189736, "field_disc_factorization": [[2, 3], [83, 1], [827, 1], [9349, 1], [16079431, 1], [419909261, 1], [104256000557960475443, 1]], "field_poly": [1558753465556664, 60107523849756, -44131402568826, 598076469, 5213582205, -24398, -135356, -3, 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, [-11111737226899392, 1407962401337808, -34177629196692, -360203815197, 4560292185, 14336666, -126662, -141, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510799049883752, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 301989888, "hecke_ring_index_factorization": [[2, 25], [3, 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": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "104.10.a.d", "level": 104, "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, 13], "level_radical": 26, "minimal_twist": "104.10.a.d", "prim_orbit_index": 1, "qexp_display": "q+(18-\\beta _{1})q^{3}+(2^{8}+2\\beta _{1}+\\beta _{3})q^{5}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], 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