Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3366n |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
324374580288 = 26 · 313 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4919,-128689] |
[a1,a2,a3,a4,a6] |
j |
18052771191337/444958272 |
j-invariant |
L |
3.4256344671667 |
L(r)(E,1)/r! |
Ω |
0.57093907786112 |
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 |
26928bw1 107712cn1 1122d1 84150be1 |
Quadratic twists by: -4 8 -3 5 |