Atkin-Lehner |
2- 3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410bo |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
12386304 |
Modular degree for the optimal curve |
Δ |
-1.2940842137944E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5017108,-3354818209] |
[a1,a2,a3,a4,a6] |
j |
19158284342667261649031/17751498131609910000 |
j-invariant |
L |
6.6304521030798 |
L(r)(E,1)/r! |
Ω |
0.069067208310621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470u1 |
Quadratic twists by: -3 |