Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dx |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-807360000000000 = -1 · 215 · 3 · 510 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120705,-16239297] |
[a1,a2,a3,a4,a6] |
j |
-5935443240847112/24638671875 |
j-invariant |
L |
2.5607079785644 |
L(r)(E,1)/r! |
Ω |
0.12803539892818 |
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 |
27840cu2 13920s2 83520ey2 |
Quadratic twists by: -4 8 -3 |