Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540bg |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-320272848263596800 = -1 · 28 · 3 · 52 · 112 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1294765,-568152337] |
[a1,a2,a3,a4,a6] |
j |
-6801793024/9075 |
j-invariant |
L |
3.3964745354694 |
L(r)(E,1)/r! |
Ω |
0.070759874878459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540bc1 |
Quadratic twists by: 13 |