Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680bk |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
5843073600 = 26 · 32 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-670,5800] |
[a1,a2,a3,a4,a6] |
j |
520494549184/91298025 |
j-invariant |
L |
2.5691779761693 |
L(r)(E,1)/r! |
Ω |
1.2845889880671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680cl1 87360fw2 |
Quadratic twists by: -4 8 |