Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160br |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-4089600000000 = -1 · 214 · 32 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9905,-395025] |
[a1,a2,a3,a4,a6] |
j |
-6560109033424/249609375 |
j-invariant |
L |
3.8199161990989 |
L(r)(E,1)/r! |
Ω |
0.23874476258572 |
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 |
68160cl1 8520d1 |
Quadratic twists by: -4 8 |