Atkin-Lehner |
2- 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
65136m |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-6.1297539972878E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2304592,3517172928] |
[a1,a2,a3,a4,a6] |
j |
330480413701752359375/1496521971994097052 |
j-invariant |
L |
3.4632648781375 |
L(r)(E,1)/r! |
Ω |
0.096201802088771 |
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 |
8142f4 |
Quadratic twists by: -4 |