Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
138b |
Isogeny class |
Conductor |
138 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
57132 = 22 · 33 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-576,5266] |
[a1,a2,a3,a4,a6] |
j |
21081759765625/57132 |
j-invariant |
L |
1.0200678073909 |
L(r)(E,1)/r! |
Ω |
3.0602034221728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
1104g2 4416a2 414a2 3450r2 |
Quadratic twists by: -4 8 -3 5 |