Atkin-Lehner |
2- 7+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52808f |
Isogeny class |
Conductor |
52808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2231808 |
Modular degree for the optimal curve |
Δ |
46029317684525056 = 211 · 7 · 238 · 41 |
Discriminant |
Eigenvalues |
2- 3 3 7+ 2 -4 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3186091,-2188923322] |
[a1,a2,a3,a4,a6] |
j |
1746498782584361784834/22475252775647 |
j-invariant |
L |
8.1361293142241 |
L(r)(E,1)/r! |
Ω |
0.11300179600995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105616h1 |
Quadratic twists by: -4 |