Atkin-Lehner |
2- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
800g |
Isogeny class |
Conductor |
800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
5000000 = 26 · 57 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158,812] |
[a1,a2,a3,a4,a6] |
j |
438976/5 |
j-invariant |
L |
2.438076923974 |
L(r)(E,1)/r! |
Ω |
2.438076923974 |
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 |
800c1 1600f2 7200j1 160a1 |
Quadratic twists by: -4 8 -3 5 |