Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bl |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[50970543619537958446:8942411745826999693965:1565987894848376] |
Generators of the group modulo torsion |
j |
86129359107301290313/9166294368 |
j-invariant |
L |
6.5898275270875 |
L(r)(E,1)/r! |
Ω |
0.055955353613598 |
Real period |
R |
29.442346002269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ek4 1386g3 14784x3 |
Quadratic twists by: -4 8 -3 |