Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200cn |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2744000000000 = 212 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3500,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
1.3635943732372 |
L(r)(E,1)/r! |
Ω |
0.68179718662658 |
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 |
39200cn2 78400jy1 39200y2 39200co2 |
Quadratic twists by: -4 8 5 -7 |