Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ba |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-29733384780450 = -1 · 2 · 36 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -3 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33747,-2392129] |
[a1,a2,a3,a4,a6] |
j |
-48317985/338 |
j-invariant |
L |
0.35209401521211 |
L(r)(E,1)/r! |
Ω |
0.17604702195653 |
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 |
8450u1 76050fp1 5850bk1 |
Quadratic twists by: -3 5 13 |