Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870bn |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
16004770867800 = 23 · 316 · 52 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105008,-13069573] |
[a1,a2,a3,a4,a6] |
j |
175654575624148921/21954418200 |
j-invariant |
L |
3.1825760059036 |
L(r)(E,1)/r! |
Ω |
0.26521466715864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960du2 4290p2 64350v2 |
Quadratic twists by: -4 -3 5 |