Atkin-Lehner |
2- 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778by |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17567567724798 = 2 · 315 · 72 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24564425,-46854476629] |
[a1,a2,a3,a4,a6] |
j |
2248619514406580050359625/24098172462 |
j-invariant |
L |
4.8826478375079 |
L(r)(E,1)/r! |
Ω |
0.067814553303035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926w2 |
Quadratic twists by: -3 |