Atkin-Lehner |
3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5565c |
Isogeny class |
Conductor |
5565 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-572877099375 = -1 · 3 · 54 · 78 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1270,-31450] |
[a1,a2,a3,a4,a6] |
j |
226523624554079/572877099375 |
j-invariant |
L |
0.94916637117862 |
L(r)(E,1)/r! |
Ω |
0.47458318558931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040cq1 16695k1 27825k1 38955j1 |
Quadratic twists by: -4 -3 5 -7 |