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 |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-27958592323584 = -1 · 214 · 312 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15829,-812941] |
[a1,a2,a3,a4,a6] |
j |
-26772667629568/1706457051 |
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 |
47424h1 11856v1 |
Quadratic twists by: -4 8 |