Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075v |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59867136 |
Modular degree for the optimal curve |
Δ |
69537095947265625 = 37 · 513 · 7 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28616088942,-1863210236419409] |
[a1,a2,a3,a4,a6] |
Generators |
[774612478643311714295032781166360550554791001369908417989153368547928701723410:-598159542222971842754183532128231163632800441278310538605829421904972162805313449:1202027354736010444069055809886651487982066855621737358059568057011724599] |
Generators of the group modulo torsion |
j |
227513404230478843268782269721/6104765625 |
j-invariant |
L |
5.6696079274244 |
L(r)(E,1)/r! |
Ω |
0.011607721653782 |
Real period |
R |
122.10854327251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32025d1 19215n1 |
Quadratic twists by: -3 5 |