Atkin-Lehner |
2- 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690s |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-25038960 = -1 · 24 · 3 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,65,137] |
[a1,a2,a3,a4,a6] |
j |
30342134159/25038960 |
j-invariant |
L |
5.4911246283534 |
L(r)(E,1)/r! |
Ω |
1.3727811570884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520bq1 29070h1 48450e1 |
Quadratic twists by: -4 -3 5 |