Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536by |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
1400426496 = 212 · 36 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1683,26514] |
[a1,a2,a3,a4,a6] |
Generators |
[25:8:1] |
Generators of the group modulo torsion |
j |
176558481/469 |
j-invariant |
L |
6.8493562511995 |
L(r)(E,1)/r! |
Ω |
1.5230611252277 |
Real period |
R |
1.1242746823865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4221a1 7504u1 |
Quadratic twists by: -4 -3 |