Atkin-Lehner |
2+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176f |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2595995648 = 214 · 23 · 832 |
Discriminant |
Eigenvalues |
2+ 0 0 0 4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-380,1456] |
[a1,a2,a3,a4,a6] |
j |
370386000/158447 |
j-invariant |
L |
1.3016621681596 |
L(r)(E,1)/r! |
Ω |
1.3016620315201 |
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 |
122176bj2 7636a2 |
Quadratic twists by: -4 8 |