Atkin-Lehner |
2+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638h |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1376022704 = -1 · 24 · 76 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 2 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,268,-542] |
[a1,a2,a3,a4,a6] |
Generators |
[4:22:1] |
Generators of the group modulo torsion |
j |
18191447/11696 |
j-invariant |
L |
6.5678279705778 |
L(r)(E,1)/r! |
Ω |
0.87061835470483 |
Real period |
R |
0.94298321638198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1462a1 |
Quadratic twists by: -7 |