Atkin-Lehner |
3+ 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675n |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1261170421875 = -1 · 33 · 56 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 2 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2700,3375] |
[a1,a2,a3,a4,a6] |
j |
139233463487/80714907 |
j-invariant |
L |
2.068830630627 |
L(r)(E,1)/r! |
Ω |
0.51720768033742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187e2 |
Quadratic twists by: 5 |