Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780d |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-886202132400 = -1 · 24 · 33 · 52 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10968,444433] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:645:1] |
Generators of the group modulo torsion |
j |
-337770946363392/2051393825 |
j-invariant |
L |
5.9365651776234 |
L(r)(E,1)/r! |
Ω |
0.89185425357538 |
Real period |
R |
3.3282148702113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39780i3 |
Quadratic twists by: -3 |