Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6816f |
Isogeny class |
Conductor |
6816 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-21733811136 = -1 · 26 · 314 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-634,9176] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:108:1] |
Generators of the group modulo torsion |
j |
-441058644928/339590799 |
j-invariant |
L |
4.5302886485935 |
L(r)(E,1)/r! |
Ω |
1.1098501897052 |
Real period |
R |
0.58312743346748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6816b1 13632b2 20448f1 |
Quadratic twists by: -4 8 -3 |