Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5440u |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1168231104512000 = -1 · 239 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- -2 0 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25535,496063] |
[a1,a2,a3,a4,a6] |
Generators |
[2991:163840:1] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
4.5022036627238 |
L(r)(E,1)/r! |
Ω |
0.30309223745364 |
Real period |
R |
1.2378530103982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5440e1 1360d1 48960ew1 27200ci1 |
Quadratic twists by: -4 8 -3 5 |