Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cs |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6430897791107E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177785400,912471837552] |
[a1,a2,a3,a4,a6] |
j |
3225005357698077121/8526675600 |
j-invariant |
L |
0.5198700211941 |
L(r)(E,1)/r! |
Ω |
0.12996750957331 |
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 |
10830p2 4560bc2 |
Quadratic twists by: -4 -19 |