Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640d |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7810214400 = 29 · 39 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8883,-322218] |
[a1,a2,a3,a4,a6] |
j |
7692038424/775 |
j-invariant |
L |
0.98354052833127 |
L(r)(E,1)/r! |
Ω |
0.49177026413682 |
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 |
44640c2 89280dw2 44640bf2 |
Quadratic twists by: -4 8 -3 |