Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296cc |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
188579397500928 = 228 · 35 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14337,-14337] |
[a1,a2,a3,a4,a6] |
j |
1243337227777/719373312 |
j-invariant |
L |
4.7833475783602 |
L(r)(E,1)/r! |
Ω |
0.478334755904 |
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 |
79296f1 19824o1 |
Quadratic twists by: -4 8 |