Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405s |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
962788342726125 = 320 · 53 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -5 4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-525992,-146691466] |
[a1,a2,a3,a4,a6] |
j |
9993948576518041/597871125 |
j-invariant |
L |
1.0636715738795 |
L(r)(E,1)/r! |
Ω |
0.17727863266406 |
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 |
33135i1 99405i1 |
Quadratic twists by: -3 -47 |