Atkin-Lehner |
2- 11+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
64328h |
Isogeny class |
Conductor |
64328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-4635704582053424 = -1 · 24 · 118 · 17 · 433 |
Discriminant |
Eigenvalues |
2- -1 -1 -4 11+ 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17029,3156484] |
[a1,a2,a3,a4,a6] |
Generators |
[90:14641:8] |
Generators of the group modulo torsion |
j |
34130736697358336/289731536378339 |
j-invariant |
L |
2.6163919011991 |
L(r)(E,1)/r! |
Ω |
0.31786080561277 |
Real period |
R |
2.0578126139766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128656g1 |
Quadratic twists by: -4 |