Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cf |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10137600 |
Modular degree for the optimal curve |
Δ |
-5.1541208191574E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3863640,1838914992] |
[a1,a2,a3,a4,a6] |
j |
10519294081031/8500170375 |
j-invariant |
L |
4.2171118743738 |
L(r)(E,1)/r! |
Ω |
0.08785650834652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7935j1 5520q1 |
Quadratic twists by: -4 -23 |