Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424dg |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-43936542186061824 = -1 · 214 · 34 · 136 · 193 |
Discriminant |
Eigenvalues |
2- 3- 3 1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,87851,-1092877] |
[a1,a2,a3,a4,a6] |
j |
4576557860913152/2681673717411 |
j-invariant |
L |
5.0888245599961 |
L(r)(E,1)/r! |
Ω |
0.21203435669494 |
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 |
47424h2 11856v2 |
Quadratic twists by: -4 8 |