Atkin-Lehner |
2+ 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
108936k |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
251950583089152 = 211 · 314 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38307,2782910] |
[a1,a2,a3,a4,a6] |
j |
4163903505218/168755481 |
j-invariant |
L |
1.0979560237526 |
L(r)(E,1)/r! |
Ω |
0.5489778268628 |
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 |
36312e2 |
Quadratic twists by: -3 |