Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665bn |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
351232 |
Modular degree for the optimal curve |
Δ |
54364497788236545 = 313 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-716634,-233055257] |
[a1,a2,a3,a4,a6] |
j |
1383586741207/1848015 |
j-invariant |
L |
2.6256086264178 |
L(r)(E,1)/r! |
Ω |
0.16410053915111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555d1 28665bb1 |
Quadratic twists by: -3 -7 |