Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352ej |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-138195786868457472 = -1 · 222 · 38 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55884,18594448] |
[a1,a2,a3,a4,a6] |
j |
-100999381393/723148272 |
j-invariant |
L |
3.3776741733433 |
L(r)(E,1)/r! |
Ω |
0.28147284777912 |
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 |
44352bk1 11088ca1 14784cq1 |
Quadratic twists by: -4 8 -3 |