Atkin-Lehner |
2- 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850fs |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-42795147656250 = -1 · 2 · 39 · 58 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11+ -4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56930,5251947] |
[a1,a2,a3,a4,a6] |
j |
-71655997945/150282 |
j-invariant |
L |
5.1452869646116 |
L(r)(E,1)/r! |
Ω |
0.64316095963627 |
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 |
37950u1 113850bp1 |
Quadratic twists by: -3 5 |