Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6422g |
Isogeny class |
Conductor |
6422 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-976144 = -1 · 24 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 2 3 0 6 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49,-161] |
[a1,a2,a3,a4,a6] |
j |
-77086633/5776 |
j-invariant |
L |
7.1861854497454 |
L(r)(E,1)/r! |
Ω |
0.89827318121818 |
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 |
51376y1 57798p1 6422c1 122018n1 |
Quadratic twists by: -4 -3 13 -19 |