Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cn |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
124928000 = 214 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 0 6 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-380,2800] |
[a1,a2,a3,a4,a6] |
j |
2963088/61 |
j-invariant |
L |
3.7134591600147 |
L(r)(E,1)/r! |
Ω |
1.8567295090679 |
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 |
97600be1 24400h1 97600co1 |
Quadratic twists by: -4 8 5 |