Atkin-Lehner |
2- 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424u |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
1622894247936 = 216 · 37 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102099,12556690] |
[a1,a2,a3,a4,a6] |
j |
39418555113937/543504 |
j-invariant |
L |
6.1548887670573 |
L(r)(E,1)/r! |
Ω |
0.76936101355602 |
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 |
15678c1 41808n1 |
Quadratic twists by: -4 -3 |