Atkin-Lehner |
2+ 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
90168q |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
837216 |
Modular degree for the optimal curve |
Δ |
-94161341017356288 = -1 · 211 · 3 · 133 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,90072,10504176] |
[a1,a2,a3,a4,a6] |
j |
5656750/6591 |
j-invariant |
L |
2.0305187405335 |
L(r)(E,1)/r! |
Ω |
0.22561320094367 |
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 |
90168h1 |
Quadratic twists by: 17 |