Atkin-Lehner |
2- 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056v |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3387496557146112 = 212 · 36 · 176 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50835,-3408878] |
[a1,a2,a3,a4,a6] |
j |
4865469108625/1134465743 |
j-invariant |
L |
2.586394112799 |
L(r)(E,1)/r! |
Ω |
0.32329928396874 |
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 |
7191c2 12784d2 |
Quadratic twists by: -4 -3 |