Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cy |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0835505955509E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2677200,4714978752] |
[a1,a2,a3,a4,a6] |
Generators |
[-438:58806:1] |
Generators of the group modulo torsion |
j |
21464092074671/109596256200 |
j-invariant |
L |
3.6733767411211 |
L(r)(E,1)/r! |
Ω |
0.092140997846843 |
Real period |
R |
4.9833635769359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670bb4 4080bb4 |
Quadratic twists by: -4 17 |