Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15561o |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18168648221997 = 314 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8951,255570] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:786:1] |
Generators of the group modulo torsion |
j |
108784086144553/24922699893 |
j-invariant |
L |
3.1142438742735 |
L(r)(E,1)/r! |
Ω |
0.64942408175093 |
Real period |
R |
1.1988483187585 |
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 |
5187c3 108927h4 |
Quadratic twists by: -3 -7 |