Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117bd |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.2823927861164E+20 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1533726,487866757] |
[a1,a2,a3,a4,a6] |
j |
249120591156760861/80068829743287 |
j-invariant |
L |
3.4232638192573 |
L(r)(E,1)/r! |
Ω |
0.17116315431925 |
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 |
39039d2 117117bm2 |
Quadratic twists by: -3 13 |