Atkin-Lehner |
2- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13202m |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6976 |
Modular degree for the optimal curve |
Δ |
160628734 = 2 · 7 · 234 · 41 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -2 4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-587,-5685] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:99:8] |
Generators of the group modulo torsion |
j |
22370941181233/160628734 |
j-invariant |
L |
4.6404520167151 |
L(r)(E,1)/r! |
Ω |
0.97034044255132 |
Real period |
R |
1.1955731754604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105616o1 118818n1 92414x1 |
Quadratic twists by: -4 -3 -7 |