Atkin-Lehner |
2- 3- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31734l |
Isogeny class |
Conductor |
31734 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98560 |
Modular degree for the optimal curve |
Δ |
-37338553608516 = -1 · 22 · 317 · 412 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8248,55343] |
[a1,a2,a3,a4,a6] |
j |
85131738691271/51218866404 |
j-invariant |
L |
3.185056278331 |
L(r)(E,1)/r! |
Ω |
0.39813203479087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10578e1 |
Quadratic twists by: -3 |