Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bn |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7127040000 = 217 · 3 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14881,-703681] |
[a1,a2,a3,a4,a6] |
Generators |
[154:825:1] [505:10992:1] |
Generators of the group modulo torsion |
j |
2780605132562/54375 |
j-invariant |
L |
8.1563765222857 |
L(r)(E,1)/r! |
Ω |
0.4322545794772 |
Real period |
R |
18.86938140054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840cj4 3480c3 83520di4 |
Quadratic twists by: -4 8 -3 |