Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50286r |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2012593013527176 = 23 · 36 · 177 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-204907,-35653015] |
[a1,a2,a3,a4,a6] |
Generators |
[704:12653:1] |
Generators of the group modulo torsion |
j |
39418555113937/83380104 |
j-invariant |
L |
11.34349556854 |
L(r)(E,1)/r! |
Ω |
0.22442205630063 |
Real period |
R |
1.4040380180047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2958a2 |
Quadratic twists by: 17 |