Atkin-Lehner |
2- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
1648a |
Isogeny class |
Conductor |
1648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
86908928 = 213 · 1032 |
Discriminant |
Eigenvalues |
2- -2 4 0 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136,372] |
[a1,a2,a3,a4,a6] |
j |
68417929/21218 |
j-invariant |
L |
1.7721826119407 |
L(r)(E,1)/r! |
Ω |
1.7721826119407 |
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 |
206a2 6592b2 14832m2 41200bh2 |
Quadratic twists by: -4 8 -3 5 |