Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440ex |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4816896 |
Modular degree for the optimal curve |
Δ |
7.4238562268016E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28572267,-58638466406] |
[a1,a2,a3,a4,a6] |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
4.1799249233687 |
L(r)(E,1)/r! |
Ω |
0.065311326926548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930be1 18480cr1 |
Quadratic twists by: -4 -3 |