# Stored data for newform 690.2.m.h, downloaded from the LMFDB on 25 April 2024.
{"label": "690.2.m.h", "space_label": "690.2.m", "level": 690, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31526022058869426, "dim": 30, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [7930971136, -101206088192, 790923217920, -3498172617984, 9233871404736, -13634882057280, 21471147242512, -20772402750000, 12057869111376, -4816906302472, 1935492063121, -985703727971, 430420546825, -124606373560, 26116712906, -4306910515, 829930716, -237640981, 98910142, -27094140, 6740184, -802964, 33268, 16460, -3492, -523, 532, -190, 48, -8, 1]]], "char_order": 11, "char_parity": 1, "char_degree": 10, "char_conductor": 23, "char_orbit_label": "m", "char_is_real": false, "Nk2": 2760, "analytic_conductor": 5.509677739468347, "level_radical": 690, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [690, 11, [461, 277, 511], [11, 11, 3]], "inner_twist_count": 2, "level_primes": [2, 3, 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-373, -185, -62, 18, -81, 140, 16, 3, -23, -34, 9, 75, 95, 18, -136, -29, -56, 125, 14, 38, -17, 3, -73, -15, 80, 11, -14, 28, 33, -151, -162, 32, -181, -1, 15, 68, -342, -2, 81, 14, -148, 130, 37, -3, 362, 125, 78, -61, 88, 65, -117, 5, 45, -138, -154, 15, -152, 161, -43, -98, 110, -5, 328, 21, -30, -146, -425, 11, -32, -28, 46, 26, -15, -8, 34, 14, -135, 90, 24, -13, 114, -177, 85, 3, -44, -12, -98, 44, 3, 204, 267, 7, -40, -4, 12, 139, 98, 29, -12, -62, 119, 31, -172, 3, -275, -39, -28, -105, -232, 77, 24, 137, 105, -78, 39, -3, 166, 206, 2, -1, -50, -81, -250, -22, -59, 147, -27, -35, 91, 272, 121, -70, 238, 4, 219, 8, -133, 275, -7, -30, -19, -238, -32, -3], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 23, 3, 1, 11, 0]], "char_orbit_index": 13, "prim_orbit_index": 3, "minimal_twist": "690.2.m.h", "char_is_minimal": true, "conrey_index": 31, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}