Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510eg |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
2.5740833860542E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22326737,-32443802751] |
[a1,a2,a3,a4,a6] |
j |
14351050585434661561/3001282273281600 |
j-invariant |
L |
5.0744191380371 |
L(r)(E,1)/r! |
Ω |
0.070478043586873 |
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 |
16170e6 6930ba6 |
Quadratic twists by: -3 -7 |