Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552di |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7110770688 = 214 · 32 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1233,15759] |
[a1,a2,a3,a4,a6] |
j |
12663250000/434007 |
j-invariant |
L |
5.2706198307157 |
L(r)(E,1)/r! |
Ω |
1.3176549911927 |
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 |
111552m2 27888bb2 |
Quadratic twists by: -4 8 |