Atkin-Lehner |
2+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21056j |
Isogeny class |
Conductor |
21056 |
Conductor |
∏ cp |
20 |
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 |
[-17:392:1] [25:112:1] |
Generators of the group modulo torsion |
j |
-95651055364/789929 |
j-invariant |
L |
6.2379184330843 |
L(r)(E,1)/r! |
Ω |
1.1296823287639 |
Real period |
R |
0.27609170623701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21056p1 2632d1 |
Quadratic twists by: -4 8 |