Atkin-Lehner |
2- 3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778ba |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
116928 |
Modular degree for the optimal curve |
Δ |
-6108539169096 = -1 · 23 · 36 · 7 · 136 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1199,-119681] |
[a1,a2,a3,a4,a6] |
Generators |
[1877:80350:1] |
Generators of the group modulo torsion |
j |
-261284780457/8379340424 |
j-invariant |
L |
6.3997753515696 |
L(r)(E,1)/r! |
Ω |
0.32871177792106 |
Real period |
R |
3.2448768097199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5642c1 |
Quadratic twists by: -3 |