Atkin-Lehner |
3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5133b |
Isogeny class |
Conductor |
5133 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
46197 = 33 · 29 · 59 |
Discriminant |
Eigenvalues |
0 3- -2 -5 2 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [-1:1:1] |
Generators of the group modulo torsion |
j |
89915392/46197 |
j-invariant |
L |
4.1272073810035 |
L(r)(E,1)/r! |
Ω |
2.8868635621326 |
Real period |
R |
0.47655033362635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82128o1 15399c1 128325a1 |
Quadratic twists by: -4 -3 5 |