Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800cq |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-4225000000 = -1 · 26 · 58 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 6 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-508,5238] |
[a1,a2,a3,a4,a6] |
j |
-14526784/4225 |
j-invariant |
L |
2.6257269353241 |
L(r)(E,1)/r! |
Ω |
1.312863467662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800co1 10400k2 4160r1 |
Quadratic twists by: -4 8 5 |