Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dw |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-421654016000 = -1 · 212 · 53 · 77 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1307,-25843] |
[a1,a2,a3,a4,a6] |
j |
4096/7 |
j-invariant |
L |
1.9839510455123 |
L(r)(E,1)/r! |
Ω |
0.49598776137808 |
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 |
1225j1 78400kj1 19600ds1 2800y1 |
Quadratic twists by: -4 8 5 -7 |