Atkin-Lehner |
2- 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16854p |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
330720 |
Modular degree for the optimal curve |
Δ |
-59395744652438394 = -1 · 2 · 32 · 539 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 3 -6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-462139,-121682221] |
[a1,a2,a3,a4,a6] |
Generators |
[9859058257124:463289789635731:4004529472] |
Generators of the group modulo torsion |
j |
-3307949/18 |
j-invariant |
L |
8.1083190295123 |
L(r)(E,1)/r! |
Ω |
0.091524021348164 |
Real period |
R |
22.148062634474 |
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 |
50562s1 16854j1 |
Quadratic twists by: -3 53 |