Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
90168n |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
47080670508678144 = 210 · 3 · 133 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -2 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1324872,-587309664] |
[a1,a2,a3,a4,a6] |
Generators |
[-103741296564:31705186636:154854153] |
Generators of the group modulo torsion |
j |
36004308772/6591 |
j-invariant |
L |
4.6829930274082 |
L(r)(E,1)/r! |
Ω |
0.1407216172499 |
Real period |
R |
16.639209806308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90168f1 |
Quadratic twists by: 17 |