Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840ds |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30443040000000000 = -1 · 214 · 38 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-336881,75614319] |
[a1,a2,a3,a4,a6] |
j |
-258068272529292496/1858095703125 |
j-invariant |
L |
2.9878118848883 |
L(r)(E,1)/r! |
Ω |
0.37347648561102 |
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 |
27840m2 6960z2 83520fv2 |
Quadratic twists by: -4 8 -3 |