Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3366o |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
352625741077248144 = 24 · 316 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-282596,-50200329] |
[a1,a2,a3,a4,a6] |
j |
3423676911662954233/483711578981136 |
j-invariant |
L |
3.3441965090265 |
L(r)(E,1)/r! |
Ω |
0.20901228181415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26928by2 107712ch2 1122b2 84150bm2 |
Quadratic twists by: -4 8 -3 5 |