Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520eu |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4.000405725E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9598548,-11034144128] |
[a1,a2,a3,a4,a6] |
j |
32753133768744220096/1339727783203125 |
j-invariant |
L |
0.51593382800489 |
L(r)(E,1)/r! |
Ω |
0.085988970796009 |
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 |
83520ew2 41760bd1 27840dw2 |
Quadratic twists by: -4 8 -3 |