Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744h |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23433187620045312 = -1 · 29 · 38 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129568,-19446628] |
[a1,a2,a3,a4,a6] |
j |
-19465109000/1896129 |
j-invariant |
L |
1.0010135128251 |
L(r)(E,1)/r! |
Ω |
0.12512668910312 |
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 |
27744o2 55488a2 83232bd2 1632a2 |
Quadratic twists by: -4 8 -3 17 |