Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720d |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3192778096640 = 215 · 5 · 117 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284108,58287152] |
[a1,a2,a3,a4,a6] |
j |
43688592648/55 |
j-invariant |
L |
1.3489156283179 |
L(r)(E,1)/r! |
Ω |
0.67445781417766 |
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 |
38720e4 19360g3 3520d3 |
Quadratic twists by: -4 8 -11 |