Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822n |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
738720 |
Modular degree for the optimal curve |
Δ |
-3253168280654241804 = -1 · 22 · 33 · 173 · 1910 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 5 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-458839,-147827530] |
[a1,a2,a3,a4,a6] |
j |
-1742478049/530604 |
j-invariant |
L |
1.6255100741384 |
L(r)(E,1)/r! |
Ω |
0.090306115229206 |
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 |
110466bh1 36822r1 |
Quadratic twists by: -3 -19 |