Atkin-Lehner |
2+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6496d |
Isogeny class |
Conductor |
6496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-5820416 = -1 · 212 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3 -3 7+ 3 -1 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,-544] |
[a1,a2,a3,a4,a6] |
j |
-51478848/1421 |
j-invariant |
L |
2.8567161650328 |
L(r)(E,1)/r! |
Ω |
0.7141790412582 |
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 |
6496l1 12992e1 58464y1 45472v1 |
Quadratic twists by: -4 8 -3 -7 |