Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15561k |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7476911091820989 = -1 · 37 · 712 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13509,-4119498] |
[a1,a2,a3,a4,a6] |
Generators |
[248596:15374157:64] |
Generators of the group modulo torsion |
j |
373979421247823/10256393815941 |
j-invariant |
L |
7.1116538227999 |
L(r)(E,1)/r! |
Ω |
0.20182662615257 |
Real period |
R |
5.8727416680757 |
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 |
5187j4 108927bc3 |
Quadratic twists by: -3 -7 |