Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50286r |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-349569156883392 = -1 · 26 · 33 · 178 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8387,-947583] |
[a1,a2,a3,a4,a6] |
Generators |
[976:29857:1] |
Generators of the group modulo torsion |
j |
-2703045457/14482368 |
j-invariant |
L |
11.34349556854 |
L(r)(E,1)/r! |
Ω |
0.22442205630063 |
Real period |
R |
2.8080760360093 |
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 |
2958a1 |
Quadratic twists by: 17 |