Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
80688bk |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3719520 |
Modular degree for the optimal curve |
Δ |
-4.0691812651267E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 1 4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9212440,11188407956] |
[a1,a2,a3,a4,a6] |
j |
-2643729241/124416 |
j-invariant |
L |
4.1254613078028 |
L(r)(E,1)/r! |
Ω |
0.13751537906843 |
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 |
10086f1 80688j1 |
Quadratic twists by: -4 41 |