Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600cf |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
8031810176000000000 = 216 · 59 · 137 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2198408,-1247916812] |
[a1,a2,a3,a4,a6] |
j |
3803721481/26000 |
j-invariant |
L |
1.9845924571276 |
L(r)(E,1)/r! |
Ω |
0.12403702889471 |
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 |
8450g1 13520t1 5200s1 |
Quadratic twists by: -4 5 13 |