Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008bt |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7764273944068096 = -1 · 221 · 73 · 133 · 173 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5823,-4234049] |
[a1,a2,a3,a4,a6] |
j |
83281698863/29618354584 |
j-invariant |
L |
0.39051471779151 |
L(r)(E,1)/r! |
Ω |
0.19525732654586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008x2 24752v2 |
Quadratic twists by: -4 8 |