Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744bg |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-129922760704 = -1 · 230 · 112 |
Discriminant |
Eigenvalues |
2- -2 3 2 11- 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3329,-77057] |
[a1,a2,a3,a4,a6] |
Generators |
[1061:34524:1] |
Generators of the group modulo torsion |
j |
-128667913/4096 |
j-invariant |
L |
3.9554372143843 |
L(r)(E,1)/r! |
Ω |
0.31366564128935 |
Real period |
R |
6.3051808896331 |
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 |
7744k2 1936i2 69696gw2 7744bh2 |
Quadratic twists by: -4 8 -3 -11 |