Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710ct |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-1.8655531780195E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,638684,-20779802800] |
[a1,a2,a3,a4,a6] |
j |
1193680917131039/7728836230440000 |
j-invariant |
L |
8.9701915003218 |
L(r)(E,1)/r! |
Ω |
0.046719751319121 |
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 |
6630t4 |
Quadratic twists by: 17 |