Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8288i |
Isogeny class |
Conductor |
8288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-1060864 = -1 · 212 · 7 · 37 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 3 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,171] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
-6229504/259 |
j-invariant |
L |
2.9899548122185 |
L(r)(E,1)/r! |
Ω |
2.7405618355706 |
Real period |
R |
0.54550033745106 |
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 |
8288b1 16576h1 74592n1 58016q1 |
Quadratic twists by: -4 8 -3 -7 |