Atkin-Lehner |
7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6923a |
Isogeny class |
Conductor |
6923 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-12800627 = -1 · 7 · 23 · 433 |
Discriminant |
Eigenvalues |
0 1 0 7- 6 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7,-170] |
[a1,a2,a3,a4,a6] |
Generators |
[8403230:35276481:493039] |
Generators of the group modulo torsion |
j |
32768000/12800627 |
j-invariant |
L |
4.1349990743512 |
L(r)(E,1)/r! |
Ω |
1.0524805781413 |
Real period |
R |
11.786438135477 |
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 |
110768m1 62307d1 48461a1 |
Quadratic twists by: -4 -3 -7 |