Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680m |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.1234784E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24932483,29641842818] |
[a1,a2,a3,a4,a6] |
j |
418466174619169063509849/149498984375000000000 |
j-invariant |
L |
0.3354455386733 |
L(r)(E,1)/r! |
Ω |
0.08386138301981 |
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 |
8710b4 |
Quadratic twists by: -4 |