Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782u |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
810000 |
Modular degree for the optimal curve |
Δ |
-154375348912390144 = -1 · 225 · 72 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 11- -4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,87944,-16040197] |
[a1,a2,a3,a4,a6] |
Generators |
[557:14057:1] |
Generators of the group modulo torsion |
j |
42461064302103/87140859904 |
j-invariant |
L |
11.199522231822 |
L(r)(E,1)/r! |
Ω |
0.1689880941848 |
Real period |
R |
1.3254806236866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
742c1 |
Quadratic twists by: -11 |