Atkin-Lehner |
3+ 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005d |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
732035835 = 32 · 5 · 23 · 294 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5537,156294] |
[a1,a2,a3,a4,a6] |
Generators |
[1310:14679:8] |
Generators of the group modulo torsion |
j |
18778886261717401/732035835 |
j-invariant |
L |
4.789931149513 |
L(r)(E,1)/r! |
Ω |
1.5027075319208 |
Real period |
R |
6.3750677330943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30015f4 50025v4 |
Quadratic twists by: -3 5 |