Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21216l |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17898835968 = -1 · 212 · 32 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,591,3105] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:36:1] [11:104:1] |
Generators of the group modulo torsion |
j |
5564051648/4369833 |
j-invariant |
L |
5.9239748255896 |
L(r)(E,1)/r! |
Ω |
0.78933954320514 |
Real period |
R |
3.752488315444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21216p2 42432cf1 63648k2 |
Quadratic twists by: -4 8 -3 |