Atkin-Lehner |
2- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
17420d |
Isogeny class |
Conductor |
17420 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-125117408000 = -1 · 28 · 53 · 13 · 673 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 3 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-941,-20641] |
[a1,a2,a3,a4,a6] |
j |
-360341315584/488739875 |
j-invariant |
L |
1.2314011659346 |
L(r)(E,1)/r! |
Ω |
0.41046705531155 |
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 |
69680s2 87100a2 |
Quadratic twists by: -4 5 |