Atkin-Lehner |
5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
5695a |
Isogeny class |
Conductor |
5695 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
544 |
Modular degree for the optimal curve |
Δ |
-28475 = -1 · 52 · 17 · 67 |
Discriminant |
Eigenvalues |
-2 -1 5+ 0 -1 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6,12] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] [1:2:1] |
Generators of the group modulo torsion |
j |
-28094464/28475 |
j-invariant |
L |
2.2629123501063 |
L(r)(E,1)/r! |
Ω |
3.4002706761823 |
Real period |
R |
0.33275473713856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91120h1 51255f1 28475e1 96815l1 |
Quadratic twists by: -4 -3 5 17 |