Atkin-Lehner |
2+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744m |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
12 |
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 |
[19:32:1] [29:132:1] |
Generators of the group modulo torsion |
j |
-121 |
j-invariant |
L |
3.8803502187704 |
L(r)(E,1)/r! |
Ω |
0.58907542846582 |
Real period |
R |
0.54893228032448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7744bb1 121c1 69696bq1 7744l2 |
Quadratic twists by: -4 8 -3 -11 |