Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554bd |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
9146198109400704 = 27 · 324 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ 3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1289624,-563351781] |
[a1,a2,a3,a4,a6] |
j |
325375754708447065657/12546225115776 |
j-invariant |
L |
1.9834115811647 |
L(r)(E,1)/r! |
Ω |
0.14167225579748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36432ch1 1518d1 113850u1 50094bf1 |
Quadratic twists by: -4 -3 5 -11 |