Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360l |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
11811225600 = 216 · 34 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2296,-42796] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:18:1] |
Generators of the group modulo torsion |
j |
326940373369/2883600 |
j-invariant |
L |
6.0975376973385 |
L(r)(E,1)/r! |
Ω |
0.69003630936759 |
Real period |
R |
1.1045682695536 |
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 |
2670a1 85440be1 64080bg1 106800x1 |
Quadratic twists by: -4 8 -3 5 |