Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bu |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-78274560000 = -1 · 216 · 3 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104,-13420] |
[a1,a2,a3,a4,a6] |
j |
30080231/19110000 |
j-invariant |
L |
2.0292324699994 |
L(r)(E,1)/r! |
Ω |
0.50730811749985 |
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 |
2730f1 87360fa1 65520dz1 109200dr1 |
Quadratic twists by: -4 8 -3 5 |