Atkin-Lehner |
3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10659g |
Isogeny class |
Conductor |
10659 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5328 |
Modular degree for the optimal curve |
Δ |
-372734571 = -1 · 3 · 113 · 173 · 19 |
Discriminant |
Eigenvalues |
-2 3- -2 3 11+ -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-154,-1238] |
[a1,a2,a3,a4,a6] |
Generators |
[16:25:1] |
Generators of the group modulo torsion |
j |
-406539661312/372734571 |
j-invariant |
L |
2.5539546734969 |
L(r)(E,1)/r! |
Ω |
0.65254159127147 |
Real period |
R |
1.3046191015046 |
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 |
31977r1 117249t1 |
Quadratic twists by: -3 -11 |