Atkin-Lehner |
3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5565d |
Isogeny class |
Conductor |
5565 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6177717781067295225 = -1 · 34 · 52 · 72 · 538 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,364815,84456240] |
[a1,a2,a3,a4,a6] |
j |
5369597073313118498159/6177717781067295225 |
j-invariant |
L |
0.63618858554734 |
L(r)(E,1)/r! |
Ω |
0.15904714638683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040cp5 16695j6 27825l5 38955k5 |
Quadratic twists by: -4 -3 5 -7 |