Atkin-Lehner |
2- 3- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6882i |
Isogeny class |
Conductor |
6882 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-146669184 = -1 · 27 · 33 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -3 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53104,-4714624] |
[a1,a2,a3,a4,a6] |
j |
-16561738703953702657/146669184 |
j-invariant |
L |
6.6044551885185 |
L(r)(E,1)/r! |
Ω |
0.15724893305996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55056o1 20646g1 |
Quadratic twists by: -4 -3 |