Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17200t |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1514700800 = -1 · 215 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 -5 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235,2330] |
[a1,a2,a3,a4,a6] |
j |
-14016105/14792 |
j-invariant |
L |
5.4849150468152 |
L(r)(E,1)/r! |
Ω |
1.3712287617038 |
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 |
2150o1 68800dv1 17200bk1 |
Quadratic twists by: -4 8 5 |