Atkin-Lehner |
2+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7744a |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-85184 = -1 · 26 · 113 |
Discriminant |
Eigenvalues |
2+ 1 3 0 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,53] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:11:1] |
Generators of the group modulo torsion |
j |
-32768 |
j-invariant |
L |
5.7800483708562 |
L(r)(E,1)/r! |
Ω |
3.3958246829011 |
Real period |
R |
0.85105223481653 |
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 |
7744s1 121b1 69696bf1 7744a2 |
Quadratic twists by: -4 8 -3 -11 |