Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840dt |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-186015744000000 = -1 · 219 · 33 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13599,-236385] |
[a1,a2,a3,a4,a6] |
j |
1060895910599/709593750 |
j-invariant |
L |
3.875633361377 |
L(r)(E,1)/r! |
Ω |
0.32296944678147 |
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 |
27840r2 6960ba2 83520fy2 |
Quadratic twists by: -4 8 -3 |