Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9792bc |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-7520256 = -1 · 214 · 33 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 3 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,-32] |
[a1,a2,a3,a4,a6] |
j |
27648/17 |
j-invariant |
L |
2.7148091954937 |
L(r)(E,1)/r! |
Ω |
1.3574045977468 |
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 |
9792b1 2448a1 9792bg1 |
Quadratic twists by: -4 8 -3 |