Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120cj |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
4945346560 = 218 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-427,-294] |
[a1,a2,a3,a4,a6] |
j |
6128487/3520 |
j-invariant |
L |
2.2820410059326 |
L(r)(E,1)/r! |
Ω |
1.1410205030002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390bh1 43120bc1 |
Quadratic twists by: -4 -7 |