Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350ed |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-5404164480000000000 = -1 · 216 · 310 · 510 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,246145,101428647] |
[a1,a2,a3,a4,a6] |
j |
144794100308831/474439680000 |
j-invariant |
L |
5.4614154860062 |
L(r)(E,1)/r! |
Ω |
0.17066923399373 |
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 |
21450a1 12870x1 |
Quadratic twists by: -3 5 |