Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600da |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-738197504000 = -1 · 229 · 53 · 11 |
Discriminant |
Eigenvalues |
2- -3 5- 1 11+ 0 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-940,-42800] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1024:1] |
Generators of the group modulo torsion |
j |
-2803221/22528 |
j-invariant |
L |
2.6955823585478 |
L(r)(E,1)/r! |
Ω |
0.37973646696155 |
Real period |
R |
0.88732008678162 |
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 |
17600bj1 4400bd1 17600cy1 |
Quadratic twists by: -4 8 5 |