Atkin-Lehner |
2+ 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16854b |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137376 |
Modular degree for the optimal curve |
Δ |
26896186257707952 = 24 · 33 · 538 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -1 -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89946,-6786396] |
[a1,a2,a3,a4,a6] |
j |
1292617/432 |
j-invariant |
L |
0.56618591511565 |
L(r)(E,1)/r! |
Ω |
0.28309295755783 |
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 |
50562bi1 16854r1 |
Quadratic twists by: -3 53 |