Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136bf |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-7.2874089073325E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54965091,-156853216798] |
[a1,a2,a3,a4,a6] |
j |
-6150311179917589675873/244053849830826 |
j-invariant |
L |
3.9921723217048 |
L(r)(E,1)/r! |
Ω |
0.027723418900728 |
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 |
2142j3 68544ed3 5712m3 119952fp3 |
Quadratic twists by: -4 8 -3 -7 |