Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bn |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-99151951675392 = -1 · 214 · 310 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,996,478928] |
[a1,a2,a3,a4,a6] |
Generators |
[14:704:1] |
Generators of the group modulo torsion |
j |
9148592/8301447 |
j-invariant |
L |
6.162421728474 |
L(r)(E,1)/r! |
Ω |
0.46761713577873 |
Real period |
R |
1.6472936022229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352em1 5544e1 14784e1 |
Quadratic twists by: -4 8 -3 |