Atkin-Lehner |
2- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68080t |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.53806379264E+23 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4425973,23972277946] |
[a1,a2,a3,a4,a6] |
Generators |
[582:163540:1] |
Generators of the group modulo torsion |
j |
2340938719029338342559/61964448062500000000 |
j-invariant |
L |
3.7901207833339 |
L(r)(E,1)/r! |
Ω |
0.073964300654222 |
Real period |
R |
4.2702140868423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001078 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8510h4 |
Quadratic twists by: -4 |