Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168l |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
104748462793728 = 210 · 36 · 134 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11792,-25488] |
[a1,a2,a3,a4,a6] |
j |
36047589764/20820969 |
j-invariant |
L |
6.0047795038963 |
L(r)(E,1)/r! |
Ω |
0.50039829600255 |
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 |
90168e1 |
Quadratic twists by: 17 |