Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424ca |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-3636773800704 = -1 · 28 · 36 · 117 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2904,69212] |
[a1,a2,a3,a4,a6] |
j |
8192/11 |
j-invariant |
L |
4.2531623851663 |
L(r)(E,1)/r! |
Ω |
0.53164529814579 |
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 |
4356h1 69696gv1 1936h1 1584o1 |
Quadratic twists by: -4 8 -3 -11 |