Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850bq |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-9726169921875000 = -1 · 23 · 39 · 512 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8433,-4737659] |
[a1,a2,a3,a4,a6] |
Generators |
[18509:2508833:1] |
Generators of the group modulo torsion |
j |
5822285399/853875000 |
j-invariant |
L |
5.5020714516558 |
L(r)(E,1)/r! |
Ω |
0.19309870545365 |
Real period |
R |
7.1233924803495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999974702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950bu1 22770bq1 |
Quadratic twists by: -3 5 |