Atkin-Lehner |
2- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
17420j |
Isogeny class |
Conductor |
17420 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
5004696320 = 28 · 5 · 13 · 673 |
Discriminant |
Eigenvalues |
2- 0 5- -3 0 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32087,2212286] |
[a1,a2,a3,a4,a6] |
j |
14271548234041296/19549595 |
j-invariant |
L |
1.1586444686429 |
L(r)(E,1)/r! |
Ω |
1.1586444686429 |
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 |
69680bh1 87100e1 |
Quadratic twists by: -4 5 |