Atkin-Lehner |
3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3363d |
Isogeny class |
Conductor |
3363 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
Δ |
-1.8845855616625E+20 |
Discriminant |
Eigenvalues |
1 3- -2 0 -6 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,464268,649208425] |
[a1,a2,a3,a4,a6] |
j |
11067035645383395052103/188458556166253790451 |
j-invariant |
L |
1.7369343962417 |
L(r)(E,1)/r! |
Ω |
0.13361033817244 |
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 |
53808o2 10089e2 84075a2 63897g2 |
Quadratic twists by: -4 -3 5 -19 |