Atkin-Lehner |
2+ 3- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
9006c |
Isogeny class |
Conductor |
9006 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5190914304 = 28 · 32 · 192 · 792 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1272,-17210] |
[a1,a2,a3,a4,a6] |
Generators |
[1678:23097:8] |
Generators of the group modulo torsion |
j |
227349578322937/5190914304 |
j-invariant |
L |
3.8464241994606 |
L(r)(E,1)/r! |
Ω |
0.80061262034604 |
Real period |
R |
4.8043511952111 |
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 |
72048m2 27018j2 |
Quadratic twists by: -4 -3 |