Atkin-Lehner |
3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20727u |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-37331162189307 = -1 · 39 · 79 · 47 |
Discriminant |
Eigenvalues |
-2 3- 0 7- -3 -6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-91875,10722780] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:4630:1] [168:171:1] |
Generators of the group modulo torsion |
j |
-1000000000000/435267 |
j-invariant |
L |
3.9576839799965 |
L(r)(E,1)/r! |
Ω |
0.63925829042691 |
Real period |
R |
0.38694101031455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6909k1 2961g1 |
Quadratic twists by: -3 -7 |