Atkin-Lehner |
3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
13617d |
Isogeny class |
Conductor |
13617 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1566069614289 = 36 · 176 · 89 |
Discriminant |
Eigenvalues |
1 3- -2 2 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5193,-129560] |
[a1,a2,a3,a4,a6] |
Generators |
[-44490:131471:1000] |
Generators of the group modulo torsion |
j |
21247028137873/2148243641 |
j-invariant |
L |
4.8347330705312 |
L(r)(E,1)/r! |
Ω |
0.56606024384285 |
Real period |
R |
8.5410221316892 |
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 |
1513a2 |
Quadratic twists by: -3 |