Atkin-Lehner |
2- 3- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434y |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-1708910418852 = -1 · 22 · 310 · 7 · 13 · 433 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 13+ -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2686,-33595] |
[a1,a2,a3,a4,a6] |
j |
2940801983783/2344184388 |
j-invariant |
L |
5.5982538147808 |
L(r)(E,1)/r! |
Ω |
0.46652115150232 |
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 |
23478l1 |
Quadratic twists by: -3 |