Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925r |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
27890625 = 3 · 57 · 7 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-938,-11133] |
[a1,a2,a3,a4,a6] |
j |
5841725401/1785 |
j-invariant |
L |
1.7253785439726 |
L(r)(E,1)/r! |
Ω |
0.86268927198629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26775be1 1785g1 62475x1 |
Quadratic twists by: -3 5 -7 |