Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cm |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-116593344 = -1 · 26 · 37 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169,-1051] |
[a1,a2,a3,a4,a6] |
Generators |
[20:63:1] |
Generators of the group modulo torsion |
j |
-8390176768/1821771 |
j-invariant |
L |
7.2700594828314 |
L(r)(E,1)/r! |
Ω |
0.65414511134325 |
Real period |
R |
0.79384520965547 |
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 |
22848n1 5712l1 68544ec1 |
Quadratic twists by: -4 8 -3 |