Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cl |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6544974985297920 = 220 · 316 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-206721,36035361] |
[a1,a2,a3,a4,a6] |
j |
3726830856733921/24967098180 |
j-invariant |
L |
0.84905512203474 |
L(r)(E,1)/r! |
Ω |
0.4245275610172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840bl4 6960bo3 83520go4 |
Quadratic twists by: -4 8 -3 |