Atkin-Lehner |
5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74005p |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
753469187890625 = 58 · 196 · 41 |
Discriminant |
Eigenvalues |
1 0 5- -4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83639,9237048] |
[a1,a2,a3,a4,a6] |
Generators |
[212:894:1] |
Generators of the group modulo torsion |
j |
1375407924561/16015625 |
j-invariant |
L |
4.2218075332841 |
L(r)(E,1)/r! |
Ω |
0.50756780934513 |
Real period |
R |
2.0794303019492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205a3 |
Quadratic twists by: -19 |