Atkin-Lehner |
2- 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
8188a |
Isogeny class |
Conductor |
8188 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
684 |
Modular degree for the optimal curve |
Δ |
-32752 = -1 · 24 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 0 4 1 -4 -6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7,5] |
[a1,a2,a3,a4,a6] |
j |
2370816/2047 |
j-invariant |
L |
2.3988423532993 |
L(r)(E,1)/r! |
Ω |
2.3988423532993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32752h1 73692d1 |
Quadratic twists by: -4 -3 |