Atkin-Lehner |
2- 3+ 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386r |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
601610161698 = 2 · 32 · 76 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15931,-779689] |
[a1,a2,a3,a4,a6] |
j |
447151332019614769/601610161698 |
j-invariant |
L |
5.0998216460571 |
L(r)(E,1)/r! |
Ω |
0.42498513717142 |
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 |
67158z2 |
Quadratic twists by: -3 |