Atkin-Lehner |
2- 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
117056l |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
219625154114748416 = 222 · 316 · 59 |
Discriminant |
Eigenvalues |
2- 2 2 0 -4 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-282497,-53118175] |
[a1,a2,a3,a4,a6] |
j |
9511014591995617/837803474864 |
j-invariant |
L |
1.66598447404 |
L(r)(E,1)/r! |
Ω |
0.20824819288804 |
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 |
117056j2 29264g2 |
Quadratic twists by: -4 8 |