Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bo |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
77069756164296150 = 2 · 39 · 52 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-186572,28041769] |
[a1,a2,a3,a4,a6] |
j |
246491883/26450 |
j-invariant |
L |
5.3330077638117 |
L(r)(E,1)/r! |
Ω |
0.33331298523947 |
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 |
47610g2 2070k2 |
Quadratic twists by: -3 -23 |