Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600cm |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
9680000000 = 210 · 57 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-437] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:44:1] |
Generators of the group modulo torsion |
j |
1048576/605 |
j-invariant |
L |
3.3630519178468 |
L(r)(E,1)/r! |
Ω |
1.083592244563 |
Real period |
R |
1.5518069341679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17600g1 4400o1 3520z1 |
Quadratic twists by: -4 8 5 |