Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431g |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
562748968226991 = 3 · 72 · 139 · 192 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41239,-3031790] |
[a1,a2,a3,a4,a6] |
j |
731432701/53067 |
j-invariant |
L |
2.6924338148098 |
L(r)(E,1)/r! |
Ω |
0.33655422666331 |
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 |
67431d2 |
Quadratic twists by: 13 |