Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720ek |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-582087720960 = -1 · 214 · 39 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,-35984] |
[a1,a2,a3,a4,a6] |
j |
3286064/48735 |
j-invariant |
L |
3.5942352279057 |
L(r)(E,1)/r! |
Ω |
0.44927940348255 |
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 |
54720ci1 13680p1 18240cj1 |
Quadratic twists by: -4 8 -3 |