Atkin-Lehner |
13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66079a |
Isogeny class |
Conductor |
66079 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-120538834432211 = -1 · 137 · 174 · 23 |
Discriminant |
Eigenvalues |
0 1 -3 0 -1 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,11943,-159350] |
[a1,a2,a3,a4,a6] |
Generators |
[1668:-24434:27] |
Generators of the group modulo torsion |
j |
39027212288/24972779 |
j-invariant |
L |
3.0457608317742 |
L(r)(E,1)/r! |
Ω |
0.3375701748305 |
Real period |
R |
1.1278250638609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083d1 |
Quadratic twists by: 13 |