Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
7952d |
Isogeny class |
Conductor |
7952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2792996864 = 214 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24251,-1453590] |
[a1,a2,a3,a4,a6] |
Generators |
[64953:296010:343] |
Generators of the group modulo torsion |
j |
385081556901777/681884 |
j-invariant |
L |
3.3784768910234 |
L(r)(E,1)/r! |
Ω |
0.3825755294212 |
Real period |
R |
8.8308755558274 |
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 |
994f3 31808r4 71568bl4 55664t4 |
Quadratic twists by: -4 8 -3 -7 |