Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cx |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-4058419904 = -1 · 26 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,392,686] |
[a1,a2,a3,a4,a6] |
Generators |
[-693:12887:729] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
9.3396813051493 |
L(r)(E,1)/r! |
Ω |
0.85517754054807 |
Real period |
R |
5.4606680264096 |
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 |
34496bw1 8624bd1 4928bf1 |
Quadratic twists by: -4 8 -7 |