Atkin-Lehner |
3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
57285d |
Isogeny class |
Conductor |
57285 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
3.4319120188034E+29 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16744524782,833511065472564] |
[a1,a2,a3,a4,a6] |
j |
712220817395521436722439914982809/470769824252860947509765625 |
j-invariant |
L |
1.0820485049814 |
L(r)(E,1)/r! |
Ω |
0.03005690290889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19095a2 |
Quadratic twists by: -3 |