Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400du |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-46118408000 = -1 · 26 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,8702] |
[a1,a2,a3,a4,a6] |
j |
448 |
j-invariant |
L |
1.5769011969465 |
L(r)(E,1)/r! |
Ω |
0.78845059964418 |
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 |
78400dq1 39200u1 78400dr1 78400eo1 |
Quadratic twists by: -4 8 5 -7 |