Atkin-Lehner |
2- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28480bo |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
36454400 = 214 · 52 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,-657] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] |
Generators of the group modulo torsion |
j |
20720464/2225 |
j-invariant |
L |
4.0172602110253 |
L(r)(E,1)/r! |
Ω |
1.3845821078563 |
Real period |
R |
1.450712163703 |
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 |
28480n1 7120c1 |
Quadratic twists by: -4 8 |