Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11560j |
Isogeny class |
Conductor |
11560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-328270938400000000 = -1 · 211 · 58 · 177 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,149413,16301334] |
[a1,a2,a3,a4,a6] |
Generators |
[6698:549100:1] |
Generators of the group modulo torsion |
j |
7462174302/6640625 |
j-invariant |
L |
4.5814639255213 |
L(r)(E,1)/r! |
Ω |
0.19857789375977 |
Real period |
R |
2.8839211648752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23120i3 92480a3 104040i3 57800a3 |
Quadratic twists by: -4 8 -3 5 |