Atkin-Lehner |
3- 11- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80883o |
Isogeny class |
Conductor |
80883 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11665920 |
Modular degree for the optimal curve |
Δ |
-1.20623958101E+22 |
Discriminant |
Eigenvalues |
-2 3- 3 -2 11- 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-38098371,-90666439722] |
[a1,a2,a3,a4,a6] |
j |
-8389100625197411520483328/16546496310150535971 |
j-invariant |
L |
0.36456330397499 |
L(r)(E,1)/r! |
Ω |
0.030380269755529 |
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 |
26961e1 |
Quadratic twists by: -3 |