Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160ce |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-177529466703052800 = -1 · 234 · 310 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120948,-12199696] |
[a1,a2,a3,a4,a6] |
Generators |
[19012:452295:64] |
Generators of the group modulo torsion |
j |
1023887723039/928972800 |
j-invariant |
L |
5.0379311388349 |
L(r)(E,1)/r! |
Ω |
0.17591536181282 |
Real period |
R |
7.159595226532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160ff1 630c1 6720c1 100800fr1 |
Quadratic twists by: -4 8 -3 5 |