Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720f |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
725631385600 = 214 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3388,63888] |
[a1,a2,a3,a4,a6] |
j |
148176/25 |
j-invariant |
L |
1.7217286683245 |
L(r)(E,1)/r! |
Ω |
0.86086433414782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38720bu2 4840g2 320b2 |
Quadratic twists by: -4 8 -11 |