Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6496j |
Isogeny class |
Conductor |
6496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-831488 = -1 · 212 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 0 0 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,-85] |
[a1,a2,a3,a4,a6] |
Generators |
[17:68:1] |
Generators of the group modulo torsion |
j |
-681472/203 |
j-invariant |
L |
4.0111517433799 |
L(r)(E,1)/r! |
Ω |
1.0102250771805 |
Real period |
R |
1.9852762686186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6496h1 12992d1 58464i1 45472bi1 |
Quadratic twists by: -4 8 -3 -7 |