Atkin-Lehner |
2- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51136o |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2461073408 = 216 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 0 4 -4 6 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1388,-19760] |
[a1,a2,a3,a4,a6] |
j |
4512447684/37553 |
j-invariant |
L |
1.5651291854864 |
L(r)(E,1)/r! |
Ω |
0.78256459210585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136d2 12784b2 |
Quadratic twists by: -4 8 |