Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440en |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
5913359822684160 = 216 · 314 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72147,-6476654] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:896:1] |
Generators of the group modulo torsion |
j |
13908844989649/1980372240 |
j-invariant |
L |
6.8111580496269 |
L(r)(E,1)/r! |
Ω |
0.29406524094106 |
Real period |
R |
1.9301720336618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930m1 18480ct1 |
Quadratic twists by: -4 -3 |