Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bu |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-4.17654129152E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 1 13+ 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,809792,-3096921088] |
[a1,a2,a3,a4,a6] |
j |
304175/21632 |
j-invariant |
L |
2.3779895124802 |
L(r)(E,1)/r! |
Ω |
0.066055264270077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450p1 67600cy1 5200y1 |
Quadratic twists by: -4 5 13 |