Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678l |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-427472349696 = -1 · 29 · 38 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-335192,-74610597] |
[a1,a2,a3,a4,a6] |
j |
-5713153642029363769/586381824 |
j-invariant |
L |
3.5714843147337 |
L(r)(E,1)/r! |
Ω |
0.099207897631493 |
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 |
53424bp1 2226a1 46746br1 |
Quadratic twists by: -4 -3 -7 |