Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cg |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
-7.6726404758256E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2215520,406906100] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:9090:1] |
Generators of the group modulo torsion |
j |
293623352309352854879/187320324116835000 |
j-invariant |
L |
7.124386372253 |
L(r)(E,1)/r! |
Ω |
0.099381927183503 |
Real period |
R |
4.480433826199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
2730x6 87360ec5 65520cv5 109200ds5 |
Quadratic twists by: -4 8 -3 5 |