Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dt |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5619609723505050 = 2 · 39 · 52 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35046407,-79848305819] |
[a1,a2,a3,a4,a6] |
j |
296494123539627/350 |
j-invariant |
L |
6.7013515067523 |
L(r)(E,1)/r! |
Ω |
0.06204955634415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470h1 106470d2 |
Quadratic twists by: -3 13 |