Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592o |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3.0987686867935E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64830177,200939119713] |
[a1,a2,a3,a4,a6] |
j |
-229903410840151742620274/2364172887263121 |
j-invariant |
L |
2.4919638593196 |
L(r)(E,1)/r! |
Ω |
0.15574774448806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592cv2 10824e2 |
Quadratic twists by: -4 8 |