Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56800n |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-22720000000 = -1 · 212 · 57 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 4 5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5533,160437] |
[a1,a2,a3,a4,a6] |
j |
-292754944/355 |
j-invariant |
L |
4.800585849327 |
L(r)(E,1)/r! |
Ω |
1.2001464622718 |
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 |
56800g1 113600m1 11360c1 |
Quadratic twists by: -4 8 5 |