Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712ek |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7075778789376 = 219 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104844,13066000] |
[a1,a2,a3,a4,a6] |
j |
666940371553/37026 |
j-invariant |
L |
2.8218372425371 |
L(r)(E,1)/r! |
Ω |
0.70545936008298 |
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 |
107712x2 26928bd2 35904cp2 |
Quadratic twists by: -4 8 -3 |