Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bo |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.2092757388168E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19933944,34221867120] |
[a1,a2,a3,a4,a6] |
Generators |
[2652:1344:1] |
Generators of the group modulo torsion |
j |
44308125149913793/61165323648 |
j-invariant |
L |
4.6961491862568 |
L(r)(E,1)/r! |
Ω |
0.15343907531697 |
Real period |
R |
3.8257441766964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154o2 6864k2 |
Quadratic twists by: -4 13 |