Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4056m |
Isogeny class |
Conductor |
4056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
9035786448 = 24 · 32 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6647,210768] |
[a1,a2,a3,a4,a6] |
j |
420616192/117 |
j-invariant |
L |
1.2702636914297 |
L(r)(E,1)/r! |
Ω |
1.2702636914297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8112m1 32448bm1 12168f1 101400bk1 |
Quadratic twists by: -4 8 -3 5 |