Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712bb |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
300689915904 = 218 · 34 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5104,-139564] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:42:1] |
Generators of the group modulo torsion |
j |
3590714269297/73410624 |
j-invariant |
L |
4.18625693482 |
L(r)(E,1)/r! |
Ω |
0.56552859261187 |
Real period |
R |
1.8505947309781 |
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 |
714f2 22848ci2 17136bl2 39984bs2 |
Quadratic twists by: -4 8 -3 -7 |