Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bb |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.6272230832068E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1141845,-6119366438] |
[a1,a2,a3,a4,a6] |
j |
55138849409108375/5449537181735712 |
j-invariant |
L |
0.46996626469577 |
L(r)(E,1)/r! |
Ω |
0.058745783086904 |
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 |
3978i2 127296dk2 10608t2 |
Quadratic twists by: -4 8 -3 |