Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510eg |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-2.3700721284584E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48109783,-195884703759] |
[a1,a2,a3,a4,a6] |
j |
143584693754978072519/276341298967965000 |
j-invariant |
L |
5.0744191380371 |
L(r)(E,1)/r! |
Ω |
0.035239021793436 |
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 |
16170e8 6930ba8 |
Quadratic twists by: -3 -7 |