Atkin-Lehner |
2+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872j |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-18291359744 = -1 · 222 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3 3 7+ 0 6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,6512] |
[a1,a2,a3,a4,a6] |
j |
-185193/69776 |
j-invariant |
L |
7.9623907586886 |
L(r)(E,1)/r! |
Ω |
0.99529884484006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39872bo1 1246c1 |
Quadratic twists by: -4 8 |