Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800cg |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
208000000 = 210 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-400,3000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:75:1] [-6:72:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
6.9460760130578 |
L(r)(E,1)/r! |
Ω |
1.7723395207002 |
Real period |
R |
3.9191565340225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800c1 5200v1 832h1 |
Quadratic twists by: -4 8 5 |