Atkin-Lehner |
2- 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194bl |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1.3153191272824E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-289634,184589921] |
[a1,a2,a3,a4,a6] |
j |
-3685898778231675097/18042786382475008 |
j-invariant |
L |
6.2211075610316 |
L(r)(E,1)/r! |
Ω |
0.19440961128249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4466a1 |
Quadratic twists by: -3 |