Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21056p |
Isogeny class |
Conductor |
21056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-51768786944 = -1 · 216 · 75 · 47 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 1 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3841,-93569] |
[a1,a2,a3,a4,a6] |
Generators |
[36651:1349416:27] |
Generators of the group modulo torsion |
j |
-95651055364/789929 |
j-invariant |
L |
5.2998249842984 |
L(r)(E,1)/r! |
Ω |
0.30306443940733 |
Real period |
R |
8.7437262429446 |
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 |
21056j1 5264a1 |
Quadratic twists by: -4 8 |