Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394bg |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-869249183191248552 = -1 · 23 · 3 · 7 · 118 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,125474,-41456296] |
[a1,a2,a3,a4,a6] |
j |
1019174234375/4055111592 |
j-invariant |
L |
2.5639280899627 |
L(r)(E,1)/r! |
Ω |
0.14244044873423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394cp2 |
Quadratic twists by: -11 |