Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2232l |
Isogeny class |
Conductor |
2232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-2372352624 = -1 · 24 · 314 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 1 6 0 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-2333] |
[a1,a2,a3,a4,a6] |
j |
3114752/203391 |
j-invariant |
L |
2.7727593222131 |
L(r)(E,1)/r! |
Ω |
0.69318983055328 |
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 |
4464d1 17856bg1 744c1 55800t1 |
Quadratic twists by: -4 8 -3 5 |