Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824s |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
130996992 = 28 · 3 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-764,-7860] |
[a1,a2,a3,a4,a6] |
Generators |
[330:1365:8] |
Generators of the group modulo torsion |
j |
192899964112/511707 |
j-invariant |
L |
4.0449187635616 |
L(r)(E,1)/r! |
Ω |
0.90813014970293 |
Real period |
R |
4.4541179090737 |
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 |
4956b2 79296cj2 59472bl2 |
Quadratic twists by: -4 8 -3 |