Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850di |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-4.0378660284696E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2391174,-2705613452] |
[a1,a2,a3,a4,a6] |
Generators |
[2552:-142764:1] |
Generators of the group modulo torsion |
j |
95921313665/256158936 |
j-invariant |
L |
4.7323848576533 |
L(r)(E,1)/r! |
Ω |
0.071555178616707 |
Real period |
R |
0.39366762889894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850er1 80850bp1 |
Quadratic twists by: 5 -7 |