Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840dt |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
18413078446080 = 224 · 32 · 5 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-162081,25060959] |
[a1,a2,a3,a4,a6] |
j |
1796316223281481/70240320 |
j-invariant |
L |
3.875633361377 |
L(r)(E,1)/r! |
Ω |
0.64593889356294 |
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 |
27840r3 6960ba3 83520fy3 |
Quadratic twists by: -4 8 -3 |