Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15561n |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-64220337548883243 = -1 · 37 · 7 · 13 · 199 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-89220,15933438] |
[a1,a2,a3,a4,a6] |
Generators |
[-734:38651:8] |
Generators of the group modulo torsion |
j |
-107741456072704000/88093741493667 |
j-invariant |
L |
4.0598365937065 |
L(r)(E,1)/r! |
Ω |
0.32002415234631 |
Real period |
R |
6.3430159316744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5187l3 108927g3 |
Quadratic twists by: -3 -7 |