Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744t |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-113379904 = -1 · 26 · 116 |
Discriminant |
Eigenvalues |
2- 0 2 0 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,121,0] |
[a1,a2,a3,a4,a6] |
Generators |
[14700:343070:27] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.7552248969626 |
L(r)(E,1)/r! |
Ω |
1.1180490978014 |
Real period |
R |
8.5062899407788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7744t1 3872b4 69696gm1 64a4 |
Quadratic twists by: -4 8 -3 -11 |