Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312ck |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4038963289986695168 = 223 · 78 · 174 |
Discriminant |
Eigenvalues |
2- -2 4 7- -4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-403041,-18841313] |
[a1,a2,a3,a4,a6] |
j |
234770924809/130960928 |
j-invariant |
L |
1.6270239305113 |
L(r)(E,1)/r! |
Ω |
0.20337799148321 |
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 |
53312z2 13328v2 7616f2 |
Quadratic twists by: -4 8 -7 |