Atkin-Lehner |
2- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50008i |
Isogeny class |
Conductor |
50008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9856 |
Modular degree for the optimal curve |
Δ |
30404864 = 28 · 7 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,164] |
[a1,a2,a3,a4,a6] |
Generators |
[20:78:1] |
Generators of the group modulo torsion |
j |
259108432/118769 |
j-invariant |
L |
8.4450597047074 |
L(r)(E,1)/r! |
Ω |
1.8715402593629 |
Real period |
R |
2.2561790114917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100016a1 |
Quadratic twists by: -4 |