Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bn |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-7645665456 = -1 · 24 · 32 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,451,1884] |
[a1,a2,a3,a4,a6] |
Generators |
[44:324:1] |
Generators of the group modulo torsion |
j |
131072/99 |
j-invariant |
L |
2.94769905295 |
L(r)(E,1)/r! |
Ω |
0.84321075822823 |
Real period |
R |
3.4958034218771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22308e1 528e1 |
Quadratic twists by: -4 13 |