Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1088a |
Isogeny class |
Conductor |
1088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9469952 = -1 · 215 · 172 |
Discriminant |
Eigenvalues |
2+ 0 0 2 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
27000/289 |
j-invariant |
L |
2.5077049444601 |
L(r)(E,1)/r! |
Ω |
1.1344189483605 |
Real period |
R |
2.2105633444189 |
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 |
1088b2 544d2 9792s2 27200s2 |
Quadratic twists by: -4 8 -3 5 |