Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768n |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
123656315904 = 210 · 36 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29304,-1920996] |
[a1,a2,a3,a4,a6] |
Generators |
[1414070:30004743:2744] |
Generators of the group modulo torsion |
j |
2717811254229988/120758121 |
j-invariant |
L |
3.6096771518593 |
L(r)(E,1)/r! |
Ω |
0.3648948644091 |
Real period |
R |
9.8923758702518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19536p2 78144bk2 29304f2 107448e2 |
Quadratic twists by: -4 8 -3 -11 |