Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28704q |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-378376128 = -1 · 26 · 32 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[12:36:1] |
Generators of the group modulo torsion |
j |
-4574296000/5912127 |
j-invariant |
L |
6.0206111798536 |
L(r)(E,1)/r! |
Ω |
1.5290240676469 |
Real period |
R |
1.9687758051837 |
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 |
28704b1 57408t2 86112h1 |
Quadratic twists by: -4 8 -3 |