Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624bb |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-75459597371518976 = -1 · 212 · 712 · 113 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38677,13523971] |
[a1,a2,a3,a4,a6] |
j |
-13278380032/156590819 |
j-invariant |
L |
1.7562989300891 |
L(r)(E,1)/r! |
Ω |
0.29271648834818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
539a2 34496cp2 77616fm2 1232f2 |
Quadratic twists by: -4 8 -3 -7 |