Atkin-Lehner |
3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27735d |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1300320 |
Modular degree for the optimal curve |
Δ |
8.3856449390335E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 -5 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3847807,-2550869414] |
[a1,a2,a3,a4,a6] |
j |
539033907481/71744535 |
j-invariant |
L |
1.7398841057805 |
L(r)(E,1)/r! |
Ω |
0.10874275661123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83205j1 27735h1 |
Quadratic twists by: -3 -43 |