Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4056j |
Isogeny class |
Conductor |
4056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
230632272 = 24 · 38 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-355,2354] |
[a1,a2,a3,a4,a6] |
Generators |
[5:27:1] |
Generators of the group modulo torsion |
j |
141150208/6561 |
j-invariant |
L |
3.279228556273 |
L(r)(E,1)/r! |
Ω |
1.7447363302002 |
Real period |
R |
0.23493725810541 |
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 |
8112i1 32448u1 12168x1 101400ci1 |
Quadratic twists by: -4 8 -3 5 |