Atkin-Lehner |
3- 11- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89199i |
Isogeny class |
Conductor |
89199 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
644473389681 = 38 · 112 · 172 · 532 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5301,-142128] |
[a1,a2,a3,a4,a6] |
j |
22600376782417/884051289 |
j-invariant |
L |
1.1217129094666 |
L(r)(E,1)/r! |
Ω |
0.56085652114861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29733b2 |
Quadratic twists by: -3 |