Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5544s |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-12171430656 = -1 · 28 · 36 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-5308] |
[a1,a2,a3,a4,a6] |
j |
-1024/65219 |
j-invariant |
L |
2.3165644342087 |
L(r)(E,1)/r! |
Ω |
0.57914110855217 |
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 |
11088o1 44352cl1 616d1 38808cb1 |
Quadratic twists by: -4 8 -3 -7 |