Atkin-Lehner |
2+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6710c |
Isogeny class |
Conductor |
6710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
991101074218750 = 2 · 514 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 11+ 3 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74920,-7727654] |
[a1,a2,a3,a4,a6] |
Generators |
[-48251:63188:343] |
Generators of the group modulo torsion |
j |
46507209170632894809/991101074218750 |
j-invariant |
L |
1.792066502791 |
L(r)(E,1)/r! |
Ω |
0.28894341039041 |
Real period |
R |
3.101068303253 |
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 |
53680w1 60390bi1 33550r1 73810m1 |
Quadratic twists by: -4 -3 5 -11 |