Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21560m |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15433591120640000 = 211 · 54 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64043,-1785658] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:1960:1] |
Generators of the group modulo torsion |
j |
120564797922/64054375 |
j-invariant |
L |
4.1943486275336 |
L(r)(E,1)/r! |
Ω |
0.31877992645014 |
Real period |
R |
3.2893763687075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43120i3 107800i3 3080e3 |
Quadratic twists by: -4 5 -7 |