Atkin-Lehner |
2- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8528j |
Isogeny class |
Conductor |
8528 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-136448 = -1 · 28 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -3 0 2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55,-158] |
[a1,a2,a3,a4,a6] |
j |
-71874000/533 |
j-invariant |
L |
0.87616631048609 |
L(r)(E,1)/r! |
Ω |
0.87616631048609 |
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 |
2132c1 34112o1 76752ce1 110864j1 |
Quadratic twists by: -4 8 -3 13 |