Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966bf |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1061977979532366 = 2 · 314 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-375719,-88534767] |
[a1,a2,a3,a4,a6] |
j |
1666957239793/301806 |
j-invariant |
L |
6.1707585317581 |
L(r)(E,1)/r! |
Ω |
0.19283620404983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322b4 414c3 |
Quadratic twists by: -3 13 |