Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016s |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-14585411813376 = -1 · 214 · 3 · 233 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 -3 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5248,-112896] |
[a1,a2,a3,a4,a6] |
Generators |
[34:322:1] |
Generators of the group modulo torsion |
j |
3901777377407/3560891556 |
j-invariant |
L |
3.9638320629735 |
L(r)(E,1)/r! |
Ω |
0.38505469251267 |
Real period |
R |
1.7157008861553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4002m2 128064dw2 96048be2 |
Quadratic twists by: -4 8 -3 |