Atkin-Lehner |
2- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9568j |
Isogeny class |
Conductor |
9568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-206974976 = -1 · 212 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 4 -1 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-317,-2389] |
[a1,a2,a3,a4,a6] |
Generators |
[53:364:1] |
Generators of the group modulo torsion |
j |
-862801408/50531 |
j-invariant |
L |
4.7507986188238 |
L(r)(E,1)/r! |
Ω |
0.56366121778764 |
Real period |
R |
1.4047440994996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9568g1 19136b1 86112p1 124384b1 |
Quadratic twists by: -4 8 -3 13 |