Atkin-Lehner |
7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
5159g |
Isogeny class |
Conductor |
5159 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
56749 = 7 · 112 · 67 |
Discriminant |
Eigenvalues |
-1 -1 1 7+ 11- 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20,24] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
887503681/56749 |
j-invariant |
L |
2.0735085117928 |
L(r)(E,1)/r! |
Ω |
3.4650966585721 |
Real period |
R |
0.29919923108975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544x1 46431e1 128975g1 36113g1 |
Quadratic twists by: -4 -3 5 -7 |