Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368a |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1211126662144 = 210 · 72 · 176 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5491,-147390] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:96:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
3.121636867102 |
L(r)(E,1)/r! |
Ω |
0.55691308105505 |
Real period |
R |
2.8026248379621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16184d2 129472bv2 112b2 |
Quadratic twists by: -4 8 17 |