Atkin-Lehner |
2- 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510y |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-480621093750000 = -1 · 24 · 34 · 512 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18270,-1421388] |
[a1,a2,a3,a4,a6] |
j |
-674436148908691681/480621093750000 |
j-invariant |
L |
4.7778820297262 |
L(r)(E,1)/r! |
Ω |
0.19907841790526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080bn1 19530h1 32550h1 45570br1 |
Quadratic twists by: -4 -3 5 -7 |