Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bb |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2077910990848 = 215 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22540,-1300656] |
[a1,a2,a3,a4,a6] |
Generators |
[445:8763:1] |
Generators of the group modulo torsion |
j |
328509000/539 |
j-invariant |
L |
4.8912124723061 |
L(r)(E,1)/r! |
Ω |
0.38967619441272 |
Real period |
R |
6.2759959967245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496l2 17248z2 4928l2 |
Quadratic twists by: -4 8 -7 |