Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8160f |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
104040000 = 26 · 32 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-850,9248] |
[a1,a2,a3,a4,a6] |
j |
1062456969664/1625625 |
j-invariant |
L |
3.7682739632699 |
L(r)(E,1)/r! |
Ω |
1.8841369816349 |
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 |
8160k1 16320f2 24480bb1 40800bf1 |
Quadratic twists by: -4 8 -3 5 |