Atkin-Lehner |
2+ 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
6666b |
Isogeny class |
Conductor |
6666 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-6184134430949376 = -1 · 236 · 34 · 11 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85506,-10376460] |
[a1,a2,a3,a4,a6] |
j |
-69138733474448992297/6184134430949376 |
j-invariant |
L |
0.13888673475041 |
L(r)(E,1)/r! |
Ω |
0.13888673475041 |
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 |
53328s1 19998n1 73326be1 |
Quadratic twists by: -4 -3 -11 |