Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840bc |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1706276712729600 = -1 · 210 · 38 · 52 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20080,2262500] |
[a1,a2,a3,a4,a6] |
j |
-874453074310084/1666285852275 |
j-invariant |
L |
6.7393912975905 |
L(r)(E,1)/r! |
Ω |
0.42121195616932 |
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 |
40920l3 |
Quadratic twists by: -4 |