Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648y |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
73618440192 = 214 · 35 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1328,-13740] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:48:1] |
Generators of the group modulo torsion |
j |
63282696625/17973252 |
j-invariant |
L |
6.8513803028789 |
L(r)(E,1)/r! |
Ω |
0.80787611096582 |
Real period |
R |
0.84807314016106 |
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 |
2706l1 86592cg1 64944bp1 |
Quadratic twists by: -4 8 -3 |