Atkin-Lehner |
3- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10659f |
Isogeny class |
Conductor |
10659 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-10659 = -1 · 3 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
0 3- 2 -1 11+ 3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[10:11:8] |
Generators of the group modulo torsion |
j |
2097152/10659 |
j-invariant |
L |
5.0334328953587 |
L(r)(E,1)/r! |
Ω |
2.0388791761435 |
Real period |
R |
2.4687254420242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31977x1 117249u1 |
Quadratic twists by: -3 -11 |