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 |
1.16079215616E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-584480,51866100] |
[a1,a2,a3,a4,a6] |
Generators |
[-785:5250:1] |
Generators of the group modulo torsion |
j |
5391051390768345121/2833965225000000 |
j-invariant |
L |
7.124386372253 |
L(r)(E,1)/r! |
Ω |
0.19876385436701 |
Real period |
R |
2.2402169130995 |
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 |
2730x3 87360ec3 65520cv3 109200ds3 |
Quadratic twists by: -4 8 -3 5 |