Atkin-Lehner |
2- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
27472i |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-16259907584 = -1 · 215 · 173 · 101 |
Discriminant |
Eigenvalues |
2- -1 2 -4 5 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,528,-4160] |
[a1,a2,a3,a4,a6] |
j |
3966822287/3969704 |
j-invariant |
L |
1.3466195662365 |
L(r)(E,1)/r! |
Ω |
0.67330978311846 |
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 |
3434a1 109888r1 |
Quadratic twists by: -4 8 |