Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800n |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
42598400000000000 = 226 · 511 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1345633,-600280863] |
[a1,a2,a3,a4,a6] |
Generators |
[48517011889009911561:-3659949812242057628672:8174168880809121] |
Generators of the group modulo torsion |
j |
65787589563409/10400000 |
j-invariant |
L |
8.342211198393 |
L(r)(E,1)/r! |
Ω |
0.14017546008846 |
Real period |
R |
29.756318235475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800cr1 650e1 4160i1 |
Quadratic twists by: -4 8 5 |