Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368y |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
85820959488 = 28 · 3 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14776332,21857487288] |
[a1,a2,a3,a4,a6] |
Generators |
[37795:16496898:125] |
Generators of the group modulo torsion |
j |
1393746203803968446127568/335238123 |
j-invariant |
L |
6.3223532949666 |
L(r)(E,1)/r! |
Ω |
0.44074989617517 |
Real period |
R |
7.1722686151851 |
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 |
4092a2 65472bo2 49104bj2 |
Quadratic twists by: -4 8 -3 |