Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616ch |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-316104197013504 = -1 · 221 · 37 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 6 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7764,-813872] |
[a1,a2,a3,a4,a6] |
j |
270840023/1654104 |
j-invariant |
L |
3.2618681106056 |
L(r)(E,1)/r! |
Ω |
0.27182234255046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23616x2 5904v2 7872be2 |
Quadratic twists by: -4 8 -3 |