Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20090d |
Isogeny class |
Conductor |
20090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
23635684100 = 22 · 52 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -4 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1887,-31471] |
[a1,a2,a3,a4,a6] |
Generators |
[50:23:1] |
Generators of the group modulo torsion |
j |
6321363049/200900 |
j-invariant |
L |
5.7702276271175 |
L(r)(E,1)/r! |
Ω |
0.72572476074295 |
Real period |
R |
3.9754931478501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100450bn1 2870b1 |
Quadratic twists by: 5 -7 |