Atkin-Lehner |
2- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
21200bb |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-2585552814080000 = -1 · 219 · 54 · 534 |
Discriminant |
Eigenvalues |
2- 3 5- 2 3 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-350275,-79829950] |
[a1,a2,a3,a4,a6] |
j |
-1856569331248425/1009981568 |
j-invariant |
L |
6.2796158499089 |
L(r)(E,1)/r! |
Ω |
0.098118997654826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2650e1 84800cp1 21200n1 |
Quadratic twists by: -4 8 5 |