Atkin-Lehner |
3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
11739i |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-5176899 = -1 · 33 · 73 · 13 · 43 |
Discriminant |
Eigenvalues |
0 3- 3 7- -3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,21,110] |
[a1,a2,a3,a4,a6] |
Generators |
[20:94:1] |
Generators of the group modulo torsion |
j |
976191488/5176899 |
j-invariant |
L |
5.5383790250704 |
L(r)(E,1)/r! |
Ω |
1.7448610107945 |
Real period |
R |
3.1741089925258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35217j1 82173b1 |
Quadratic twists by: -3 -7 |