Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100z |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
5381250000 = 24 · 3 · 58 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7133,229488] |
[a1,a2,a3,a4,a6] |
j |
160568836096/21525 |
j-invariant |
L |
5.2336120438312 |
L(r)(E,1)/r! |
Ω |
1.3084030026065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220d1 |
Quadratic twists by: 5 |