Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400cf |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2398157216000 = 28 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16415,806050] |
[a1,a2,a3,a4,a6] |
Generators |
[21:686:1] |
Generators of the group modulo torsion |
j |
129929616/637 |
j-invariant |
L |
5.0795534288002 |
L(r)(E,1)/r! |
Ω |
0.82069644298997 |
Real period |
R |
0.77366508646473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999066515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127400r2 18200x2 |
Quadratic twists by: 5 -7 |