Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cm |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
4279661568 = 210 · 38 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-957,-11277] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:21:1] |
Generators of the group modulo torsion |
j |
94757435392/4179357 |
j-invariant |
L |
6.3930278477561 |
L(r)(E,1)/r! |
Ω |
0.86063015669614 |
Real period |
R |
0.92853878608818 |
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 |
17472h1 4368d1 52416et1 122304gh1 |
Quadratic twists by: -4 8 -3 -7 |