Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cm |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-9937200 = -1 · 24 · 3 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,150] |
[a1,a2,a3,a4,a6] |
j |
-1048576/621075 |
j-invariant |
L |
3.7131082097012 |
L(r)(E,1)/r! |
Ω |
1.8565541048506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5460b1 87360ep1 65520df1 109200dc1 |
Quadratic twists by: -4 8 -3 5 |