Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800bj |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
133120000 = 214 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,163] |
[a1,a2,a3,a4,a6] |
j |
25600/13 |
j-invariant |
L |
1.6318945854963 |
L(r)(E,1)/r! |
Ω |
1.6318945854963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20800dr1 2600f1 20800y1 |
Quadratic twists by: -4 8 5 |