Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826ba |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-4250031462144 = -1 · 28 · 315 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -3 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4568,-153637] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2809:1] |
Generators of the group modulo torsion |
j |
-14457238157881/5829947136 |
j-invariant |
L |
6.076430425353 |
L(r)(E,1)/r! |
Ω |
0.28471162499476 |
Real period |
R |
0.6669501141577 |
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 |
6942d1 |
Quadratic twists by: -3 |