Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600bj |
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 |
[210:5120:27] |
Generators of the group modulo torsion |
j |
-2803221/22528 |
j-invariant |
L |
8.6007419712486 |
L(r)(E,1)/r! |
Ω |
0.77198401920661 |
Real period |
R |
1.3926360127389 |
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 |
17600da1 550j1 17600bk1 |
Quadratic twists by: -4 8 5 |