Atkin-Lehner |
7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
55811n |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-4556150349240371 = -1 · 712 · 173 · 67 |
Discriminant |
Eigenvalues |
2 -1 -2 7- 5 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,26346,-2808345] |
[a1,a2,a3,a4,a6] |
j |
17189492314112/38726638979 |
j-invariant |
L |
2.7080475349906 |
L(r)(E,1)/r! |
Ω |
0.22567062791248 |
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 |
7973c1 |
Quadratic twists by: -7 |