Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2080b |
Isogeny class |
Conductor |
2080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
20800 = 26 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-433,-3468] |
[a1,a2,a3,a4,a6] |
j |
140283769536/325 |
j-invariant |
L |
1.0465925548175 |
L(r)(E,1)/r! |
Ω |
1.0465925548175 |
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 |
2080a1 4160f2 18720t1 10400f1 |
Quadratic twists by: -4 8 -3 5 |