Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168p |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-3328667315376 = -1 · 24 · 3 · 132 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3661,22146] |
[a1,a2,a3,a4,a6] |
Generators |
[2526:55783:216] |
Generators of the group modulo torsion |
j |
14047232/8619 |
j-invariant |
L |
6.4070373651636 |
L(r)(E,1)/r! |
Ω |
0.48990457993776 |
Real period |
R |
6.5390666205128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304c1 |
Quadratic twists by: 17 |