Atkin-Lehner |
2- 3- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
68076d |
Isogeny class |
Conductor |
68076 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-8483250673461744 = -1 · 24 · 314 · 313 · 612 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -2 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50847,401861] |
[a1,a2,a3,a4,a6] |
j |
1246442372697344/727302012471 |
j-invariant |
L |
0.99902211254887 |
L(r)(E,1)/r! |
Ω |
0.24975552760144 |
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 |
22692c1 |
Quadratic twists by: -3 |