Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4056l |
Isogeny class |
Conductor |
4056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-129792 = -1 · 28 · 3 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 6 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,-27] |
[a1,a2,a3,a4,a6] |
j |
-13312/3 |
j-invariant |
L |
2.3120677625837 |
L(r)(E,1)/r! |
Ω |
1.1560338812919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8112l1 32448bk1 12168e1 101400bc1 |
Quadratic twists by: -4 8 -3 5 |