Atkin-Lehner |
2- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176k |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-578816 = -1 · 28 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20,-8] |
[a1,a2,a3,a4,a6] |
j |
3286064/2261 |
j-invariant |
L |
1.6448821957119 |
L(r)(E,1)/r! |
Ω |
1.6448821957278 |
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 |
9044e1 |
Quadratic twists by: -4 |