Atkin-Lehner |
2- 3+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51264v |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-39370752 = -1 · 214 · 33 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-384,2912] |
[a1,a2,a3,a4,a6] |
j |
-14155776/89 |
j-invariant |
L |
4.1116916734469 |
L(r)(E,1)/r! |
Ω |
2.0558458372882 |
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 |
51264a1 12816d1 51264w1 |
Quadratic twists by: -4 8 -3 |