Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800dk |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-43000000 = -1 · 26 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-313] |
[a1,a2,a3,a4,a6] |
Generators |
[7218:11125:729] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
9.4190510141063 |
L(r)(E,1)/r! |
Ω |
0.86215226154293 |
Real period |
R |
5.4625217807486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800n1 17200o1 2752d1 |
Quadratic twists by: -4 8 5 |