Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10404b |
Isogeny class |
Conductor |
10404 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
166838876928 = 28 · 33 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4335,108086] |
[a1,a2,a3,a4,a6] |
j |
54000 |
j-invariant |
L |
3.0607120199688 |
L(r)(E,1)/r! |
Ω |
1.0202373399896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41616bk2 10404b4 36a2 |
Quadratic twists by: -4 -3 17 |