Atkin-Lehner |
2- 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ct |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
9896040000 = 26 · 33 · 54 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1412,20199] |
[a1,a2,a3,a4,a6] |
Generators |
[17:21:1] |
Generators of the group modulo torsion |
j |
11523267816003/366520000 |
j-invariant |
L |
11.587881553571 |
L(r)(E,1)/r! |
Ω |
1.2832210487795 |
Real period |
R |
0.37626284140513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810b1 |
Quadratic twists by: -3 |