Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352cm |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6842602080534528 = 215 · 318 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215724,38359312] |
[a1,a2,a3,a4,a6] |
j |
46477380430664/286446699 |
j-invariant |
L |
3.3837596401218 |
L(r)(E,1)/r! |
Ω |
0.42296995503749 |
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 |
44352v4 22176f3 14784be3 |
Quadratic twists by: -4 8 -3 |