Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
21528h |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
-1.2152562348566E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27724791,-56438670134] |
[a1,a2,a3,a4,a6] |
j |
-12628770220528167730768/65117896672272327 |
j-invariant |
L |
1.5785553012381 |
L(r)(E,1)/r! |
Ω |
0.032886568775793 |
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 |
43056j1 7176o1 |
Quadratic twists by: -4 -3 |