Atkin-Lehner |
2+ 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568k |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2390184495691776 = -1 · 211 · 38 · 7 · 714 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9069,-2328590] |
[a1,a2,a3,a4,a6] |
j |
55251546334/1600935903 |
j-invariant |
L |
1.773913897291 |
L(r)(E,1)/r! |
Ω |
0.22173923910472 |
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 |
35784n3 23856i3 |
Quadratic twists by: -4 -3 |