Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966bf |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17724397910796018 = 2 · 38 · 136 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-162779,24493785] |
[a1,a2,a3,a4,a6] |
j |
135559106353/5037138 |
j-invariant |
L |
6.1707585317581 |
L(r)(E,1)/r! |
Ω |
0.38567240809966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322b3 414c4 |
Quadratic twists by: -3 13 |