Atkin-Lehner |
2- 3+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
17088i |
Isogeny class |
Conductor |
17088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1345534820352 = -1 · 221 · 34 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1663,-49887] |
[a1,a2,a3,a4,a6] |
Generators |
[4634:111695:8] |
Generators of the group modulo torsion |
j |
1939096223/5132808 |
j-invariant |
L |
4.8899455777854 |
L(r)(E,1)/r! |
Ω |
0.44113607991635 |
Real period |
R |
5.5424457445338 |
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 |
17088e2 4272d2 51264ba2 |
Quadratic twists by: -4 8 -3 |