Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800da |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-11008000000 = -1 · 214 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,-18963] |
[a1,a2,a3,a4,a6] |
j |
-1024000/43 |
j-invariant |
L |
0.78813136867074 |
L(r)(E,1)/r! |
Ω |
0.39406569735131 |
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 |
68800bo1 17200y1 2752f1 |
Quadratic twists by: -4 8 5 |