Atkin-Lehner |
3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6699f |
Isogeny class |
Conductor |
6699 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-62414583 = -1 · 3 · 72 · 114 · 29 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,48,361] |
[a1,a2,a3,a4,a6] |
j |
12600539783/62414583 |
j-invariant |
L |
1.4145385543676 |
L(r)(E,1)/r! |
Ω |
1.4145385543676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184bw1 20097i1 46893e1 73689x1 |
Quadratic twists by: -4 -3 -7 -11 |