Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352ek |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1751706132616839168 = 223 · 318 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52994604,148489433552] |
[a1,a2,a3,a4,a6] |
j |
86129359107301290313/9166294368 |
j-invariant |
L |
1.6360305725414 |
L(r)(E,1)/r! |
Ω |
0.2045038215669 |
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 |
44352bl4 11088bz3 14784cb3 |
Quadratic twists by: -4 8 -3 |