Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bz |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
47721745812837888 = 29 · 314 · 117 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157179,-21559538] |
[a1,a2,a3,a4,a6] |
j |
649461896/72171 |
j-invariant |
L |
3.8640693034033 |
L(r)(E,1)/r! |
Ω |
0.24150433146293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848t3 69696cr4 11616m3 3168m3 |
Quadratic twists by: -4 8 -3 -11 |