Atkin-Lehner |
3- 5- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165s |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
24660109001390625 = 36 · 56 · 72 · 174 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-758724,-254072845] |
[a1,a2,a3,a4,a6] |
j |
66259472106950093889/33827310015625 |
j-invariant |
L |
3.8824253536904 |
L(r)(E,1)/r! |
Ω |
0.16176772572546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13685d2 |
Quadratic twists by: -3 |