Atkin-Lehner |
2- 3+ 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330be |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
875556000000 = 28 · 33 · 56 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2507,18139] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-874:1] |
Generators of the group modulo torsion |
j |
64514975105043/32428000000 |
j-invariant |
L |
9.0133786501725 |
L(r)(E,1)/r! |
Ω |
0.78564815843496 |
Real period |
R |
0.23901121623252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330d1 |
Quadratic twists by: -3 |