Atkin-Lehner |
3- 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
16665f |
Isogeny class |
Conductor |
16665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6784 |
Modular degree for the optimal curve |
Δ |
-110905575 = -1 · 3 · 52 · 114 · 101 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,117,-119] |
[a1,a2,a3,a4,a6] |
Generators |
[4375:17921:343] |
Generators of the group modulo torsion |
j |
179310732119/110905575 |
j-invariant |
L |
6.5778359447522 |
L(r)(E,1)/r! |
Ω |
1.0830851153411 |
Real period |
R |
6.0732400912745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49995f1 83325c1 |
Quadratic twists by: -3 5 |