Atkin-Lehner |
2- 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
9078j |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
21675704004 = 22 · 36 · 174 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1159,-13531] |
[a1,a2,a3,a4,a6] |
j |
172185842321137/21675704004 |
j-invariant |
L |
4.9500121239651 |
L(r)(E,1)/r! |
Ω |
0.82500202066085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72624p1 27234g1 |
Quadratic twists by: -4 -3 |