Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720du |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
1795089600 = 26 · 310 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-1712] |
[a1,a2,a3,a4,a6] |
j |
113379904/38475 |
j-invariant |
L |
2.2476396101541 |
L(r)(E,1)/r! |
Ω |
1.1238198057221 |
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 |
54720dn1 27360bc2 18240ct1 |
Quadratic twists by: -4 8 -3 |