Atkin-Lehner |
2+ 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728g |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
2428455168 = 28 · 34 · 17 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-348,684] |
[a1,a2,a3,a4,a6] |
Generators |
[18:24:1] |
Generators of the group modulo torsion |
j |
18258658000/9486153 |
j-invariant |
L |
8.6103863045615 |
L(r)(E,1)/r! |
Ω |
1.2761624165584 |
Real period |
R |
1.6867732101961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33864a1 |
Quadratic twists by: -4 |