Atkin-Lehner |
2- 3+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cu |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23984032457814660 = 22 · 39 · 5 · 7 · 116 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72767,-1231901] |
[a1,a2,a3,a4,a6] |
j |
2164862091435147/1218515087020 |
j-invariant |
L |
5.6316678599354 |
L(r)(E,1)/r! |
Ω |
0.31287047552275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810h1 |
Quadratic twists by: -3 |