Atkin-Lehner |
2- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
18224k |
Isogeny class |
Conductor |
18224 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-2034019257676544 = -1 · 28 · 179 · 67 |
Discriminant |
Eigenvalues |
2- 1 2 4 -5 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1717,-2170625] |
[a1,a2,a3,a4,a6] |
j |
-2188001148928/7945387725299 |
j-invariant |
L |
3.8017093619625 |
L(r)(E,1)/r! |
Ω |
0.21120607566458 |
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 |
4556b1 72896q1 |
Quadratic twists by: -4 8 |