Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840w |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3368074276660838400 = 223 · 33 · 52 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457505,-79787103] |
[a1,a2,a3,a4,a6] |
j |
40399154288735689/12848183733600 |
j-invariant |
L |
3.0108400402544 |
L(r)(E,1)/r! |
Ω |
0.18817750251589 |
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 |
27840eb2 870b2 83520bm2 |
Quadratic twists by: -4 8 -3 |