Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ef |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.5135076341804E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7952342,6284455629] |
[a1,a2,a3,a4,a6] |
j |
648474704552553481/176469171805080 |
j-invariant |
L |
5.5774407049463 |
L(r)(E,1)/r! |
Ω |
0.11619668135551 |
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 |
16170d4 6930x4 |
Quadratic twists by: -3 -7 |