Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720f |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
9070392320 = 210 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-968,-10648] |
[a1,a2,a3,a4,a6] |
j |
55296/5 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
38720bu1 4840g1 320b1 |
Quadratic twists by: -4 8 -11 |