Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744bb |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-3838050304 = -1 · 218 · 114 |
Discriminant |
Eigenvalues |
2- 2 -1 2 11- -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,3137] |
[a1,a2,a3,a4,a6] |
Generators |
[7:48:1] |
Generators of the group modulo torsion |
j |
-121 |
j-invariant |
L |
5.772952851637 |
L(r)(E,1)/r! |
Ω |
1.1958154728734 |
Real period |
R |
2.4138142475132 |
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 |
7744m1 1936k1 69696fs1 7744bc2 |
Quadratic twists by: -4 8 -3 -11 |