Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5200u |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-34611200 = -1 · 213 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 3 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-355,-2590] |
[a1,a2,a3,a4,a6] |
j |
-48317985/338 |
j-invariant |
L |
4.3976531989701 |
L(r)(E,1)/r! |
Ω |
0.54970664987126 |
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 |
650c1 20800dj1 46800cu1 5200bk1 |
Quadratic twists by: -4 8 -3 5 |