Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dr |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-25088000 = -1 · 212 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128,-652] |
[a1,a2,a3,a4,a6] |
j |
-9317 |
j-invariant |
L |
2.8198147599753 |
L(r)(E,1)/r! |
Ω |
0.70495368999381 |
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 |
1225h1 78400kk1 19600dv1 19600dh1 |
Quadratic twists by: -4 8 5 -7 |