Atkin-Lehner |
2- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59168k |
Isogeny class |
Conductor |
59168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
118336 = 26 · 432 |
Discriminant |
Eigenvalues |
2- -1 3 3 -4 1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
2752 |
j-invariant |
L |
6.3805964419278 |
L(r)(E,1)/r! |
Ω |
2.5281177920524 |
Real period |
R |
1.2619262563417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59168i1 118336bg1 59168c1 |
Quadratic twists by: -4 8 -43 |