Atkin-Lehner |
2+ 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51336c |
Isogeny class |
Conductor |
51336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1284361016491008 = -1 · 210 · 310 · 23 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21531,2109926] |
[a1,a2,a3,a4,a6] |
j |
-1478729816932/1720519623 |
j-invariant |
L |
1.7528354109511 |
L(r)(E,1)/r! |
Ω |
0.43820885291405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672o3 17112i4 |
Quadratic twists by: -4 -3 |