Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cs |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
5487525000000000000 = 212 · 32 · 514 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1066505,-408316503] |
[a1,a2,a3,a4,a6] |
Generators |
[-601:3900:1] |
Generators of the group modulo torsion |
j |
32753133768744220096/1339727783203125 |
j-invariant |
L |
4.9068815456577 |
L(r)(E,1)/r! |
Ω |
0.14893726630924 |
Real period |
R |
2.3532830141236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840dw2 13920k1 83520ew2 |
Quadratic twists by: -4 8 -3 |