Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424m |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
32 |
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] |
j |
525759790900426992937/201993839889813504 |
j-invariant |
L |
1.5499410430641 |
L(r)(E,1)/r! |
Ω |
0.086107835739122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47424cx2 1482d2 |
Quadratic twists by: -4 8 |