Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8568b |
Isogeny class |
Conductor |
8568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-235052181504 = -1 · 211 · 39 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,23326] |
[a1,a2,a3,a4,a6] |
j |
-2/157437 |
j-invariant |
L |
1.5745115436248 |
L(r)(E,1)/r! |
Ω |
0.7872557718124 |
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 |
17136i1 68544ba1 2856g1 59976o1 |
Quadratic twists by: -4 8 -3 -7 |