Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800dg |
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 |
[-5:125:1] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
4.4083755045064 |
L(r)(E,1)/r! |
Ω |
1.1079741790625 |
Real period |
R |
1.9893854877467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800b1 17200j1 13760q1 |
Quadratic twists by: -4 8 5 |