Atkin-Lehner |
2+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6622a |
Isogeny class |
Conductor |
6622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-29119091818432 = -1 · 26 · 75 · 114 · 432 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11- 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13524,653072] |
[a1,a2,a3,a4,a6] |
j |
-273583167734108233/29119091818432 |
j-invariant |
L |
2.583650730835 |
L(r)(E,1)/r! |
Ω |
0.64591268270876 |
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 |
52976y1 59598r1 46354n1 72842y1 |
Quadratic twists by: -4 -3 -7 -11 |