Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496ct |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22857020899328 = 215 · 78 · 112 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252513,48755167] |
[a1,a2,a3,a4,a6] |
Generators |
[303:-392:1] |
Generators of the group modulo torsion |
j |
461889917000/5929 |
j-invariant |
L |
3.8916273154114 |
L(r)(E,1)/r! |
Ω |
0.61592396442901 |
Real period |
R |
0.78979458913786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496dj2 17248t2 4928be2 |
Quadratic twists by: -4 8 -7 |