Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13600v |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-43520000 = -1 · 212 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 3 0 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-337] |
[a1,a2,a3,a4,a6] |
Generators |
[13:40:1] |
Generators of the group modulo torsion |
j |
-1600/17 |
j-invariant |
L |
5.8825731113793 |
L(r)(E,1)/r! |
Ω |
0.86156184611657 |
Real period |
R |
1.1379668868994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13600h1 27200bg1 122400bx1 13600d1 |
Quadratic twists by: -4 8 -3 5 |