Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078de |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
8.2875896475158E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64768662,195785063460] |
[a1,a2,a3,a4,a6] |
j |
6225272619854317474537/171699142176866304 |
j-invariant |
L |
8.5337256638028 |
L(r)(E,1)/r! |
Ω |
0.088892975973562 |
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 |
6006m2 |
Quadratic twists by: 13 |