Atkin-Lehner |
3+ 5- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
16665b |
Isogeny class |
Conductor |
16665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6249375 = 32 · 54 · 11 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33330000,74049075810] |
[a1,a2,a3,a4,a6] |
Generators |
[78855756:537410441:21952] |
Generators of the group modulo torsion |
j |
4094771330554368081599520001/6249375 |
j-invariant |
L |
2.7676609880286 |
L(r)(E,1)/r! |
Ω |
0.47932714724056 |
Real period |
R |
11.548108651729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49995d4 83325n4 |
Quadratic twists by: -3 5 |