Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680dt |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-6144693013669478400 = -1 · 219 · 37 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285108,-103876976] |
[a1,a2,a3,a4,a6] |
Generators |
[405:8833:1] |
Generators of the group modulo torsion |
j |
13411719834479/32153832150 |
j-invariant |
L |
6.1575885457229 |
L(r)(E,1)/r! |
Ω |
0.12343739144732 |
Real period |
R |
3.1177690940749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31680bd5 7920z6 10560cb6 |
Quadratic twists by: -4 8 -3 |