Atkin-Lehner |
2- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36080u |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-366577418240 = -1 · 215 · 5 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3 5- -1 11+ 4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,293,29066] |
[a1,a2,a3,a4,a6] |
j |
679151439/89496440 |
j-invariant |
L |
5.8744974082278 |
L(r)(E,1)/r! |
Ω |
0.73431217602904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510l1 |
Quadratic twists by: -4 |