Atkin-Lehner |
2- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400bf |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3831168 |
Modular degree for the optimal curve |
Δ |
-2.7377751688626E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 1 -4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2081808,1403014213] |
[a1,a2,a3,a4,a6] |
j |
-99780560707977683200/27377751688625863 |
j-invariant |
L |
1.3216381200782 |
L(r)(E,1)/r! |
Ω |
0.16520475619399 |
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 |
85400g1 |
Quadratic twists by: 5 |