Atkin-Lehner |
2- 3- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330bl |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
181555292160000 = 214 · 37 · 54 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105638,13225781] |
[a1,a2,a3,a4,a6] |
Generators |
[153:-869:1] |
Generators of the group modulo torsion |
j |
178835132364370201/249047040000 |
j-invariant |
L |
8.4451479359521 |
L(r)(E,1)/r! |
Ω |
0.56832577950491 |
Real period |
R |
0.26535170246154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110j1 |
Quadratic twists by: -3 |