Atkin-Lehner |
2- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
17420g |
Isogeny class |
Conductor |
17420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-905840 = -1 · 24 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6430,-200615] |
[a1,a2,a3,a4,a6] |
j |
-1837825141547776/56615 |
j-invariant |
L |
1.5994196856827 |
L(r)(E,1)/r! |
Ω |
0.26656994761378 |
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 |
69680ba1 87100l1 |
Quadratic twists by: -4 5 |