Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450bo |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-3096000 = -1 · 26 · 32 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
17373979/24768 |
j-invariant |
L |
6.3785345718898 |
L(r)(E,1)/r! |
Ω |
1.3419003557884 |
Real period |
R |
0.79222655447497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600cj1 19350bn1 6450h1 |
Quadratic twists by: -4 -3 5 |