Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59840v |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35808256000000 = 216 · 56 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22828,1295952] |
[a1,a2,a3,a4,a6] |
j |
20074621850244/546390625 |
j-invariant |
L |
1.2991889321835 |
L(r)(E,1)/r! |
Ω |
0.64959446579344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59840e2 14960b2 |
Quadratic twists by: -4 8 |