Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480cn |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
15925248 |
Modular degree for the optimal curve |
Δ |
3.1690673891574E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60396400,-180660947500] |
[a1,a2,a3,a4,a6] |
j |
5948355686436823421487601/773698093056000000 |
j-invariant |
L |
3.8992647285778 |
L(r)(E,1)/r! |
Ω |
0.054156449030314 |
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 |
12810n1 |
Quadratic twists by: -4 |