Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dh |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4576684861440000 = 214 · 312 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-704721,-227917521] |
[a1,a2,a3,a4,a6] |
Generators |
[-483:132:1] |
Generators of the group modulo torsion |
j |
2362414115152710736/279338675625 |
j-invariant |
L |
5.8921727429301 |
L(r)(E,1)/r! |
Ω |
0.16477764110797 |
Real period |
R |
2.9798605681121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27840d2 6960j2 83520gf2 |
Quadratic twists by: -4 8 -3 |