Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880b |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-66689433600 = -1 · 224 · 3 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-641,-13695] |
[a1,a2,a3,a4,a6] |
j |
-111284641/254400 |
j-invariant |
L |
0.88683882736609 |
L(r)(E,1)/r! |
Ω |
0.4434194137108 |
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 |
50880dl1 1590t1 |
Quadratic twists by: -4 8 |