Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352df |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-16450200797184 = -1 · 221 · 33 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6036,-74160] |
[a1,a2,a3,a4,a6] |
j |
3436115229/2324168 |
j-invariant |
L |
3.1567591459313 |
L(r)(E,1)/r! |
Ω |
0.3945948932347 |
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 |
44352a2 11088bb2 44352dc2 |
Quadratic twists by: -4 8 -3 |