Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744w |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1247178944 = -1 · 26 · 117 |
Discriminant |
Eigenvalues |
2- 1 -1 4 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1371,-20077] |
[a1,a2,a3,a4,a6] |
Generators |
[31730:500819:125] |
Generators of the group modulo torsion |
j |
-2515456/11 |
j-invariant |
L |
5.0509554914885 |
L(r)(E,1)/r! |
Ω |
0.39216620515791 |
Real period |
R |
6.4398148349558 |
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 |
7744z1 3872j1 69696fx1 704j1 |
Quadratic twists by: -4 8 -3 -11 |