Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121032f |
Isogeny class |
Conductor |
121032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7978351084851456 = 28 · 38 · 416 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65559,-4824470] |
[a1,a2,a3,a4,a6] |
j |
35152/9 |
j-invariant |
L |
5.4719630164444 |
L(r)(E,1)/r! |
Ω |
0.30399798131287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40344g2 72a2 |
Quadratic twists by: -3 41 |