Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720bc |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
348913664000000 = 224 · 56 · 113 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-238465,-44891937] |
[a1,a2,a3,a4,a6] |
j |
4298149261979/1000000 |
j-invariant |
L |
1.2962851781352 |
L(r)(E,1)/r! |
Ω |
0.21604752968503 |
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 |
38720cw2 1210h2 38720bb2 |
Quadratic twists by: -4 8 -11 |