Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720p |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-206794321920 = -1 · 212 · 312 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,21472] |
[a1,a2,a3,a4,a6] |
j |
4410944/69255 |
j-invariant |
L |
2.9767375601416 |
L(r)(E,1)/r! |
Ω |
0.74418439002259 |
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 |
54720bh1 27360be1 18240bk1 |
Quadratic twists by: -4 8 -3 |