Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dn |
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] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
113379904/38475 |
j-invariant |
L |
4.84299959252 |
L(r)(E,1)/r! |
Ω |
1.3686043744829 |
Real period |
R |
1.7693205146845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720du1 27360bg2 18240cd1 |
Quadratic twists by: -4 8 -3 |