Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bp |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3545856000000 = -1 · 214 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2148,-82096] |
[a1,a2,a3,a4,a6] |
Generators |
[53:425:1] |
Generators of the group modulo torsion |
j |
91765424/296875 |
j-invariant |
L |
5.6590890191194 |
L(r)(E,1)/r! |
Ω |
0.4036704069604 |
Real period |
R |
2.3365138660456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720eu2 6840s2 6080b2 |
Quadratic twists by: -4 8 -3 |