Atkin-Lehner |
2- 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568bb |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-9151921633862448 = -1 · 24 · 39 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23760,-4381533] |
[a1,a2,a3,a4,a6] |
j |
4710334464000/29060361841 |
j-invariant |
L |
1.6422497322206 |
L(r)(E,1)/r! |
Ω |
0.20528121707206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17892a1 71568y1 |
Quadratic twists by: -4 -3 |