Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424dh |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2.2301477343712E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-759418369,8054825372159] |
[a1,a2,a3,a4,a6] |
j |
-184768138755655701309378433/8507338464245556 |
j-invariant |
L |
3.9219776665268 |
L(r)(E,1)/r! |
Ω |
0.10894382408222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424i3 11856w3 |
Quadratic twists by: -4 8 |