Atkin-Lehner |
2- 3- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59856n |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18880 |
Modular degree for the optimal curve |
Δ |
15323136 = 212 · 3 · 29 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -3 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,-141] |
[a1,a2,a3,a4,a6] |
Generators |
[-2610:6227:729] |
Generators of the group modulo torsion |
j |
8998912/3741 |
j-invariant |
L |
11.158920354775 |
L(r)(E,1)/r! |
Ω |
1.7164965981507 |
Real period |
R |
6.5009860006777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3741b1 |
Quadratic twists by: -4 |