Atkin-Lehner |
2- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680n |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-57533923660400 = -1 · 24 · 52 · 119 · 61 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 11+ 0 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7393,439367] |
[a1,a2,a3,a4,a6] |
j |
-2792967280982784/3595870228775 |
j-invariant |
L |
4.5261181428226 |
L(r)(E,1)/r! |
Ω |
0.56576476792177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13420c1 |
Quadratic twists by: -4 |