Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240u |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-466866131399360 = -1 · 26 · 5 · 77 · 116 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19453,1473528] |
[a1,a2,a3,a4,a6] |
Generators |
[1106:9555:8] |
Generators of the group modulo torsion |
j |
-108122295744/62004635 |
j-invariant |
L |
4.522698742824 |
L(r)(E,1)/r! |
Ω |
0.48810350682317 |
Real period |
R |
4.6329299780516 |
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 |
86240bf1 12320f1 |
Quadratic twists by: -4 -7 |