Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680k |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
-2.364548852194E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5142128,4494192752] |
[a1,a2,a3,a4,a6] |
j |
-3671067867220377391104/5772824346176875 |
j-invariant |
L |
0.85288308670026 |
L(r)(E,1)/r! |
Ω |
0.21322077268284 |
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 |
4355b1 |
Quadratic twists by: -4 |