Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ds |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-6588344000000000 = -1 · 212 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32667,-3165037] |
[a1,a2,a3,a4,a6] |
j |
4096/7 |
j-invariant |
L |
1.7744997607189 |
L(r)(E,1)/r! |
Ω |
0.22181247008986 |
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 |
1225i1 78400ko1 19600dw1 2800be1 |
Quadratic twists by: -4 8 5 -7 |