Atkin-Lehner |
3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20727a |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-761860452843 = -1 · 39 · 77 · 47 |
Discriminant |
Eigenvalues |
0 3+ -2 7- 1 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2646,67142] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:318:1] [30:121:1] |
Generators of the group modulo torsion |
j |
-884736/329 |
j-invariant |
L |
5.8096584869992 |
L(r)(E,1)/r! |
Ω |
0.84507409666312 |
Real period |
R |
0.85934158169373 |
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 |
20727e1 2961b1 |
Quadratic twists by: -3 -7 |