Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424cx |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
5.2951473164075E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10761377,7873982175] |
[a1,a2,a3,a4,a6] |
Generators |
[3298:90915:1] |
Generators of the group modulo torsion |
j |
525759790900426992937/201993839889813504 |
j-invariant |
L |
8.3526064366955 |
L(r)(E,1)/r! |
Ω |
0.10224463346048 |
Real period |
R |
5.8351692923629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47424m2 11856y2 |
Quadratic twists by: -4 8 |