Atkin-Lehner |
11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5797a |
Isogeny class |
Conductor |
5797 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
416 |
Modular degree for the optimal curve |
Δ |
5797 = 11 · 17 · 31 |
Discriminant |
Eigenvalues |
0 1 -4 -3 11+ 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:0:1] |
Generators of the group modulo torsion |
j |
16777216/5797 |
j-invariant |
L |
2.3594439514681 |
L(r)(E,1)/r! |
Ω |
3.2301821480875 |
Real period |
R |
0.7304368123219 |
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 |
92752s1 52173n1 63767c1 98549f1 |
Quadratic twists by: -4 -3 -11 17 |