Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840w |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
338631327744000000 = 233 · 3 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33559265,-74817263775] |
[a1,a2,a3,a4,a6] |
j |
15944875212653044225849/1291776000000 |
j-invariant |
L |
3.0108400402544 |
L(r)(E,1)/r! |
Ω |
0.062725834171963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840eb4 870b4 83520bm4 |
Quadratic twists by: -4 8 -3 |