Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800kl |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
396436244004864000 = 226 · 39 · 53 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11787660,15577174800] |
[a1,a2,a3,a4,a6] |
j |
280844088456303/614656 |
j-invariant |
L |
2.0686067448434 |
L(r)(E,1)/r! |
Ω |
0.25857588601686 |
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 |
100800bm2 25200dk2 100800km2 100800kg2 |
Quadratic twists by: -4 8 -3 5 |