Atkin-Lehner |
2- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32560t |
Isogeny class |
Conductor |
32560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
23472373760 = 220 · 5 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7547,-252246] |
[a1,a2,a3,a4,a6] |
Generators |
[-87540:14399:1728] |
Generators of the group modulo torsion |
j |
11606113520721/5730560 |
j-invariant |
L |
6.7024117879034 |
L(r)(E,1)/r! |
Ω |
0.51223451364217 |
Real period |
R |
6.5423274002435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4070f1 |
Quadratic twists by: -4 |