Atkin-Lehner |
2- 3+ 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990k |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
48362906250 = 2 · 33 · 56 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8816,314759] |
[a1,a2,a3,a4,a6] |
Generators |
[1574:19201:8] |
Generators of the group modulo torsion |
j |
75777720251735809/48362906250 |
j-invariant |
L |
7.3715642726679 |
L(r)(E,1)/r! |
Ω |
1.1185689285477 |
Real period |
R |
6.5901743598776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970u2 |
Quadratic twists by: -3 |