Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960bp |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-1791345920 = -1 · 28 · 5 · 72 · 134 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380,-3380] |
[a1,a2,a3,a4,a6] |
j |
-485043664/142805 |
j-invariant |
L |
1.0649122388016 |
L(r)(E,1)/r! |
Ω |
0.53245611914091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12740d1 50960p1 |
Quadratic twists by: -4 -7 |