Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400n |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.6210890375625E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15267175,22878891750] |
[a1,a2,a3,a4,a6] |
j |
55537159171536/228765625 |
j-invariant |
L |
1.205832372725 |
L(r)(E,1)/r! |
Ω |
0.15072904657003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24200g2 9680g2 4400c2 |
Quadratic twists by: -4 5 -11 |