Atkin-Lehner |
2- 3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778y |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
115719424162524 = 22 · 39 · 76 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69386,7033101] |
[a1,a2,a3,a4,a6] |
Generators |
[161:45:1] |
Generators of the group modulo torsion |
j |
50676413506575193/158737207356 |
j-invariant |
L |
7.0172108244454 |
L(r)(E,1)/r! |
Ω |
0.59334613247844 |
Real period |
R |
2.9566261749882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926b2 |
Quadratic twists by: -3 |