Atkin-Lehner |
2+ 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112c |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
163848524737536 = 210 · 35 · 23 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 3 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15224,373728] |
[a1,a2,a3,a4,a6] |
j |
381099700944868/160008324939 |
j-invariant |
L |
5.1914567728569 |
L(r)(E,1)/r! |
Ω |
0.51914567728569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34224g1 51336t1 |
Quadratic twists by: -4 -3 |