Atkin-Lehner |
2- 3- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52452g |
Isogeny class |
Conductor |
52452 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4697280 |
Modular degree for the optimal curve |
Δ |
-6.8445335130684E+23 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 0 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3987552,39922124132] |
[a1,a2,a3,a4,a6] |
j |
-37572950224353624064/3667552679756315619 |
j-invariant |
L |
1.3411332396268 |
L(r)(E,1)/r! |
Ω |
0.07450740218856 |
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 |
17484b1 |
Quadratic twists by: -3 |