Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560bp |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-1234753522659072000 = -1 · 211 · 317 · 53 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 5 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179787,60984934] |
[a1,a2,a3,a4,a6] |
j |
-430468214044178/827032912875 |
j-invariant |
L |
2.9192814453961 |
L(r)(E,1)/r! |
Ω |
0.24327345205739 |
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 |
26520d1 |
Quadratic twists by: -3 |