Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26700k |
Isogeny class |
Conductor |
26700 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
106920 |
Modular degree for the optimal curve |
Δ |
-175178700000000 = -1 · 28 · 39 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,667,-636537] |
[a1,a2,a3,a4,a6] |
j |
327680/1751787 |
j-invariant |
L |
2.3782973337734 |
L(r)(E,1)/r! |
Ω |
0.26425525930816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106800bn1 80100w1 26700a1 |
Quadratic twists by: -4 -3 5 |