Atkin-Lehner |
2- 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50286n |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2498220477899716926 = -1 · 2 · 3 · 176 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 2 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1881685,-997191607] |
[a1,a2,a3,a4,a6] |
j |
-30526075007211889/103499257854 |
j-invariant |
L |
3.1574810084142 |
L(r)(E,1)/r! |
Ω |
0.064438387931874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
174b2 |
Quadratic twists by: 17 |