Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288bs |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
1529796775932592128 = 236 · 310 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288219,-2413942] |
[a1,a2,a3,a4,a6] |
j |
886755839141017/512325844992 |
j-invariant |
L |
0.4502895396367 |
L(r)(E,1)/r! |
Ω |
0.22514476972407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6786p1 18096z1 |
Quadratic twists by: -4 -3 |