Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016s |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-4720951296 = -1 · 218 · 33 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 -3 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1472,-21504] |
[a1,a2,a3,a4,a6] |
Generators |
[322:5726:1] |
Generators of the group modulo torsion |
j |
-86175179713/1152576 |
j-invariant |
L |
3.9638320629735 |
L(r)(E,1)/r! |
Ω |
0.38505469251267 |
Real period |
R |
5.147102658466 |
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 |
4002m1 128064dw1 96048be1 |
Quadratic twists by: -4 8 -3 |