Atkin-Lehner |
3+ 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675c |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2180563659421875 = -1 · 33 · 56 · 73 · 133 · 193 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,25167,1630568] |
[a1,a2,a3,a4,a6] |
j |
112818618368000/139556074203 |
j-invariant |
L |
1.8609967680522 |
L(r)(E,1)/r! |
Ω |
0.31016601656596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187l2 |
Quadratic twists by: 5 |