Atkin-Lehner |
3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1071d |
Isogeny class |
Conductor |
1071 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-1328071059 = -1 · 313 · 72 · 17 |
Discriminant |
Eigenvalues |
2 3- 3 7- 3 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-381,-3357] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/1821771 |
j-invariant |
L |
4.2728579747388 |
L(r)(E,1)/r! |
Ω |
0.53410724684235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17136bg1 68544cq1 357d1 26775ba1 |
Quadratic twists by: -4 8 -3 5 |