Atkin-Lehner |
13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17797a |
Isogeny class |
Conductor |
17797 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
948384 |
Modular degree for the optimal curve |
Δ |
-1.3733797826063E+20 |
Discriminant |
Eigenvalues |
1 -2 -1 -2 0 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25340219,-49103331645] |
[a1,a2,a3,a4,a6] |
Generators |
[242826438380587959660:38105002925888944731965:9398740088414656] |
Generators of the group modulo torsion |
j |
-374229085681/28561 |
j-invariant |
L |
2.1681066296568 |
L(r)(E,1)/r! |
Ω |
0.033644569951633 |
Real period |
R |
32.220751116357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17797c1 |
Quadratic twists by: 37 |