Atkin-Lehner |
2- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21328j |
Isogeny class |
Conductor |
21328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
82702178975744 = 225 · 31 · 433 |
Discriminant |
Eigenvalues |
2- 0 1 0 3 -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50027,-4284518] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:114:1] |
Generators of the group modulo torsion |
j |
3380470452981441/20190961664 |
j-invariant |
L |
5.5507750924855 |
L(r)(E,1)/r! |
Ω |
0.31934099151409 |
Real period |
R |
4.345492154145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666c1 85312w1 |
Quadratic twists by: -4 8 |