Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21560m |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17857047577600 = 210 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50323,-4340322] |
[a1,a2,a3,a4,a6] |
Generators |
[55055:959616:125] |
Generators of the group modulo torsion |
j |
116986321764/148225 |
j-invariant |
L |
4.1943486275336 |
L(r)(E,1)/r! |
Ω |
0.31877992645014 |
Real period |
R |
6.578752737415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43120i2 107800i2 3080e2 |
Quadratic twists by: -4 5 -7 |