Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6450bk |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-177504000000000 = -1 · 214 · 3 · 59 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9112,547392] |
[a1,a2,a3,a4,a6] |
j |
42838260499/90882048 |
j-invariant |
L |
5.533236810915 |
L(r)(E,1)/r! |
Ω |
0.39523120077964 |
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 |
51600co1 19350bg1 6450i1 |
Quadratic twists by: -4 -3 5 |