Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bp |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
337042944 = 29 · 37 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86691,-9824470] |
[a1,a2,a3,a4,a6] |
Generators |
[406:4680:1] [506:8710:1] |
Generators of the group modulo torsion |
j |
193040423122184/903 |
j-invariant |
L |
9.378487242012 |
L(r)(E,1)/r! |
Ω |
0.27823134272801 |
Real period |
R |
33.707515299374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688u4 28896d4 |
Quadratic twists by: -4 -3 |