Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880bs |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-3298149946884096000 = -1 · 232 · 37 · 53 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,219775,-77785377] |
[a1,a2,a3,a4,a6] |
j |
4478336057868191/12581443584000 |
j-invariant |
L |
5.4238582071017 |
L(r)(E,1)/r! |
Ω |
0.1291394811414 |
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 |
50880dc1 1590k1 |
Quadratic twists by: -4 8 |