Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
624j |
Isogeny class |
Conductor |
624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
1872 = 24 · 32 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 2 4 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-6] |
[a1,a2,a3,a4,a6] |
j |
1048576/117 |
j-invariant |
L |
1.5821867465249 |
L(r)(E,1)/r! |
Ω |
3.1643734930499 |
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 |
156a1 2496v1 1872t1 15600ba1 |
Quadratic twists by: -4 8 -3 5 |