Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8200i |
Isogeny class |
Conductor |
8200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
410000000000 = 210 · 510 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 6 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2008,-16512] |
[a1,a2,a3,a4,a6] |
j |
55990084/25625 |
j-invariant |
L |
1.4897081350589 |
L(r)(E,1)/r! |
Ω |
0.74485406752944 |
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 |
16400d1 65600h1 73800bb1 1640c1 |
Quadratic twists by: -4 8 -3 5 |