Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552be |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7315257490931712 = 220 · 3 · 72 · 834 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209889,36711807] |
[a1,a2,a3,a4,a6] |
j |
3900810873230713/27905492748 |
j-invariant |
L |
0.84116900634068 |
L(r)(E,1)/r! |
Ω |
0.42058487658396 |
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 |
111552ct4 3486c3 |
Quadratic twists by: -4 8 |