Atkin-Lehner |
2- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28480bk |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
36454400 = 214 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92,176] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:20:1] |
Generators of the group modulo torsion |
j |
5256144/2225 |
j-invariant |
L |
4.2912428359365 |
L(r)(E,1)/r! |
Ω |
1.8592264436069 |
Real period |
R |
1.1540398563855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28480j1 7120a1 |
Quadratic twists by: -4 8 |