Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4400p |
Isogeny class |
Conductor |
4400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-2306867200 = -1 · 223 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11+ -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3288,73712] |
[a1,a2,a3,a4,a6] |
j |
-38401771585/22528 |
j-invariant |
L |
2.8795253069921 |
L(r)(E,1)/r! |
Ω |
1.439762653496 |
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 |
550c1 17600cn1 39600dr1 4400z1 |
Quadratic twists by: -4 8 -3 5 |