Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450d |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-28212300 = -1 · 22 · 38 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 1 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12735,-558495] |
[a1,a2,a3,a4,a6] |
j |
-9137635610327905/1128492 |
j-invariant |
L |
0.89882546783355 |
L(r)(E,1)/r! |
Ω |
0.22470636695839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600cs1 19350cg1 6450bj1 |
Quadratic twists by: -4 -3 5 |