Atkin-Lehner |
3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8547f |
Isogeny class |
Conductor |
8547 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
279917719389693 = 312 · 76 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11+ 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18668,560451] |
[a1,a2,a3,a4,a6] |
Generators |
[457:-9584:1] |
Generators of the group modulo torsion |
j |
719479696477074625/279917719389693 |
j-invariant |
L |
3.3935766619096 |
L(r)(E,1)/r! |
Ω |
0.49993754830071 |
Real period |
R |
0.18855558800652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25641i2 59829b2 94017p2 |
Quadratic twists by: -3 -7 -11 |