Atkin-Lehner |
2- 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50286n |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-195952260951936 = -1 · 27 · 37 · 176 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 2 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,673373] |
[a1,a2,a3,a4,a6] |
j |
-117649/8118144 |
j-invariant |
L |
3.1574810084142 |
L(r)(E,1)/r! |
Ω |
0.45106871552312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
174b1 |
Quadratic twists by: 17 |