Atkin-Lehner |
5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
20075a |
Isogeny class |
Conductor |
20075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29520 |
Modular degree for the optimal curve |
Δ |
41788935546875 = 510 · 11 · 733 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 11+ 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9805,-204678] |
[a1,a2,a3,a4,a6] |
Generators |
[-546:3295:8] |
Generators of the group modulo torsion |
j |
10673944425/4279187 |
j-invariant |
L |
3.0048665767198 |
L(r)(E,1)/r! |
Ω |
0.49672290855525 |
Real period |
R |
6.0493819088386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20075e1 |
Quadratic twists by: 5 |