Atkin-Lehner |
2- 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bz |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-3535009114795704 = -1 · 23 · 39 · 73 · 133 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2929,-2860657] |
[a1,a2,a3,a4,a6] |
j |
3813232609367/4849120870776 |
j-invariant |
L |
7.4476260604434 |
L(r)(E,1)/r! |
Ω |
0.20687850170508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16926x2 |
Quadratic twists by: -3 |