Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506v |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
9408960 |
Modular degree for the optimal curve |
Δ |
-4.3988244786326E+26 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11+ 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37039373,-1012820713981] |
[a1,a2,a3,a4,a6] |
j |
-2383309398005493875/186553098502668288 |
j-invariant |
L |
3.0800614920548 |
L(r)(E,1)/r! |
Ω |
0.023333799182233 |
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 |
67518h1 22506b1 |
Quadratic twists by: -3 -11 |