Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248v |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
488894146048 = 29 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 11- -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20755,-1150394] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:22:1] |
Generators of the group modulo torsion |
j |
39411764973000/19487171 |
j-invariant |
L |
2.9354290861082 |
L(r)(E,1)/r! |
Ω |
0.39776975562369 |
Real period |
R |
0.5271227970106 |
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 |
17248ba1 34496ba1 17248c1 |
Quadratic twists by: -4 8 -7 |