Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800b |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-26875000000 = -1 · 26 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 1 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-800,-11750] |
[a1,a2,a3,a4,a6] |
Generators |
[9855:978325:1] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
6.6603620861604 |
L(r)(E,1)/r! |
Ω |
0.43887218603123 |
Real period |
R |
7.5880430549397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800dg1 1075a1 13760j1 |
Quadratic twists by: -4 8 5 |