Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5841i |
Isogeny class |
Conductor |
5841 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
4258089 = 38 · 11 · 59 |
Discriminant |
Eigenvalues |
-1 3- -2 2 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131,-534] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] |
Generators of the group modulo torsion |
j |
338608873/5841 |
j-invariant |
L |
2.2937850882735 |
L(r)(E,1)/r! |
Ω |
1.4134990697123 |
Real period |
R |
1.6227708510204 |
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 |
93456bi1 1947a1 64251o1 |
Quadratic twists by: -4 -3 -11 |