Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
39840m |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
32270400 = 26 · 35 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26890,-1706200] |
[a1,a2,a3,a4,a6] |
Generators |
[434:8280:1] |
Generators of the group modulo torsion |
j |
33599459836909504/504225 |
j-invariant |
L |
8.5862507527331 |
L(r)(E,1)/r! |
Ω |
0.37282112157166 |
Real period |
R |
4.6060967342942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39840c1 79680b2 119520e1 |
Quadratic twists by: -4 8 -3 |