Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
89232v |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1073160405412482816 = -1 · 28 · 33 · 114 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,227756,27166556] |
[a1,a2,a3,a4,a6] |
j |
481283696/395307 |
j-invariant |
L |
2.1406761548324 |
L(r)(E,1)/r! |
Ω |
0.17838968541567 |
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 |
44616o2 89232p2 |
Quadratic twists by: -4 13 |