# Stored data for newform 820.2.u.a, downloaded from the LMFDB on 04 September 2025.
{"Nk2": 3280, "analytic_conductor": 6.547732965744991, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 41, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 21, "char_orbit_label": "u", "char_order": 5, "char_parity": 1, "char_values": [820, 5, [411, 657, 621], [5, 5, 2]], "cm_discs": [], "conrey_index": 141, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[3, [-11, 121, -217, -468, 858, 321, -629, -107, 178, 17, -22, -1, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 1374423089972, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 41, 4, 1, 5, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "820.2.u.a", "level": 820, "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, 5, 41], "level_radical": 410, "minimal_twist": "820.2.u.a", "prim_orbit_index": 4, "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c5", "self_twist_discs": [], "self_twist_type": 0, "space_label": "820.2.u", "trace_display": [0, 2, -6, 5], "traces": [24, 0, 2, 0, -6, 0, 5, 0, 18, 0, -7, 0, -5, 0, 2, 0, 3, 0, -1, 0, 2, 0, 20, 0, -6, 0, 20, 0, -15, 0, -1, 0, -6, 0, 5, 0, 1, 0, 0, 0, 28, 0, -4, 0, 3, 0, 3, 0, 3, 0, 37, 0, 29, 0, -12, 0, 17, 0, -4, 0, -14, 0, -10, 0, 5, 0, -14, 0, -26, 0, 1, 0, -84, 0, -3, 0, 24, 0, 18, 0, -40, 0, -6, 0, -12, 0, 39, 0, 12, 0, -2, 0, -58, 0, -1, 0, -20, 0, 34, 0, -25, 0, 7, 0, 2, 0, 1, 0, 30, 0, 30, 0, 42, 0, -25, 0, -38, 0, -33, 0, -29, 0, 48, 0, -6, 0, 19, 0, 49, 0, 54, 0, -35, 0, 15, 0, -6, 0, 24, 0, 33, 0, -11, 0, 15, 0, -25, 0, 0, 0, -50, 0, -29, 0, -16, 0, -6, 0, -22, 0, 42, 0, -46, 0, -16, 0, -40, 0, 33, 0, 97, 0, -138, 0, -5, 0, 11, 0, -19, 0, 21, 0, -63, 0, 16, 0, 29, 0, -35, 0, 68, 0, -54, 0, 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-49, 0, 338, 0, -420, 0, -92, 0, -208, 0, -95, 0, 145, 0, -118, 0, 32, 0, 43, 0, -24, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}