Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9555k |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
60221581875 = 32 · 54 · 77 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-214057,38030014] |
[a1,a2,a3,a4,a6] |
j |
9219915604149769/511875 |
j-invariant |
L |
1.6683695567061 |
L(r)(E,1)/r! |
Ω |
0.83418477835305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28665bg4 47775cj4 1365c3 124215k4 |
Quadratic twists by: -3 5 -7 13 |