Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960bs |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8729292266240 = 28 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 6 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7660,217932] |
[a1,a2,a3,a4,a6] |
j |
4812208/845 |
j-invariant |
L |
6.2872334979404 |
L(r)(E,1)/r! |
Ω |
0.69858149981592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12740e2 50960bf2 |
Quadratic twists by: -4 -7 |