Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6942l |
Isogeny class |
Conductor |
6942 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-11659894272 = -1 · 29 · 39 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33,5193] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:75:1] |
Generators of the group modulo torsion |
j |
-3981876625/11659894272 |
j-invariant |
L |
7.0622915989094 |
L(r)(E,1)/r! |
Ω |
1.0221865149917 |
Real period |
R |
0.085296356284285 |
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 |
55536o1 20826j1 90246j1 |
Quadratic twists by: -4 -3 13 |