Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240u |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
785710093414400 = 212 · 52 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345548,78171072] |
[a1,a2,a3,a4,a6] |
Generators |
[308:980:1] |
Generators of the group modulo torsion |
j |
9468924964416/1630475 |
j-invariant |
L |
4.522698742824 |
L(r)(E,1)/r! |
Ω |
0.48810350682317 |
Real period |
R |
2.3164649890258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240bf2 12320f2 |
Quadratic twists by: -4 -7 |