Atkin-Lehner |
2+ 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
50286d |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
730789039044 = 22 · 32 · 176 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5641,-160175] |
[a1,a2,a3,a4,a6] |
j |
822656953/30276 |
j-invariant |
L |
1.1042379057759 |
L(r)(E,1)/r! |
Ω |
0.55211895266998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
174d2 |
Quadratic twists by: 17 |