Atkin-Lehner |
2- 3- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
9798j |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
22671063108 = 22 · 38 · 233 · 71 |
Discriminant |
Eigenvalues |
2- 3- 4 0 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18051,-934947] |
[a1,a2,a3,a4,a6] |
j |
650472610581916849/22671063108 |
j-invariant |
L |
6.5901455068331 |
L(r)(E,1)/r! |
Ω |
0.41188409417707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384u1 29394d1 |
Quadratic twists by: -4 -3 |