Atkin-Lehner |
2- 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28644l |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
763200 |
Modular degree for the optimal curve |
Δ |
-2.2085582547042E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2705557,-1728665401] |
[a1,a2,a3,a4,a6] |
Generators |
[1395994:583125741:8] |
Generators of the group modulo torsion |
j |
-8555668939436267143168/86271806824383411 |
j-invariant |
L |
5.0271152019246 |
L(r)(E,1)/r! |
Ω |
0.058822608595734 |
Real period |
R |
8.5462296248609 |
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 |
114576bo1 85932ba1 |
Quadratic twists by: -4 -3 |