Atkin-Lehner |
2- 3+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726u |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23424 |
Modular degree for the optimal curve |
Δ |
-807750954 = -1 · 2 · 39 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 5 -5 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-461,4159] |
[a1,a2,a3,a4,a6] |
j |
-549353259/41038 |
j-invariant |
L |
6.2417029151285 |
L(r)(E,1)/r! |
Ω |
1.5604257287821 |
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 |
21726c1 |
Quadratic twists by: -3 |