Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568j |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
-1062363067394752512 = -1 · 216 · 32 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -2 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16223,-49589087] |
[a1,a2,a3,a4,a6] |
j |
4/9 |
j-invariant |
L |
2.0522877141859 |
L(r)(E,1)/r! |
Ω |
0.12826798053409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568dm1 12696t1 101568o1 |
Quadratic twists by: -4 8 -23 |