Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468k |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-112370795264 = -1 · 28 · 77 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,-16297] |
[a1,a2,a3,a4,a6] |
Generators |
[16858:2188879:1] |
Generators of the group modulo torsion |
j |
-65536/3731 |
j-invariant |
L |
7.2093638603753 |
L(r)(E,1)/r! |
Ω |
0.46287103616422 |
Real period |
R |
7.7876592879519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14924f1 |
Quadratic twists by: -7 |