Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5712j |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-2467584 = -1 · 28 · 34 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28,60] |
[a1,a2,a3,a4,a6] |
j |
9148592/9639 |
j-invariant |
L |
3.4094168686338 |
L(r)(E,1)/r! |
Ω |
1.7047084343169 |
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 |
2856f1 22848bu1 17136g1 39984i1 |
Quadratic twists by: -4 8 -3 -7 |