Atkin-Lehner |
5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4165p |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4536 |
Modular degree for the optimal curve |
Δ |
24010396165 = 5 · 710 · 17 |
Discriminant |
Eigenvalues |
-2 1 5- 7- -4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-800,4246] |
[a1,a2,a3,a4,a6] |
j |
200704/85 |
j-invariant |
L |
1.0824930331773 |
L(r)(E,1)/r! |
Ω |
1.0824930331773 |
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 |
66640cq1 37485y1 20825l1 4165b1 |
Quadratic twists by: -4 -3 5 -7 |