Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34848br |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7040794078162944 = 212 · 36 · 119 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47916,0] |
[a1,a2,a3,a4,a6] |
Generators |
[19044:222525:64] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.4162631546981 |
L(r)(E,1)/r! |
Ω |
0.35444763003463 |
Real period |
R |
7.6404279444168 |
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 |
34848br2 69696fc1 3872a2 34848l2 |
Quadratic twists by: -4 8 -3 -11 |