Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9555k |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-771613347292515 = -1 · 38 · 5 · 77 · 134 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4827,1340676] |
[a1,a2,a3,a4,a6] |
j |
-105756712489/6558605235 |
j-invariant |
L |
1.6683695567061 |
L(r)(E,1)/r! |
Ω |
0.41709238917652 |
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 |
28665bg3 47775cj3 1365c4 124215k3 |
Quadratic twists by: -3 5 -7 13 |