Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168bc |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
50102121411240912 = 24 · 310 · 133 · 176 |
Discriminant |
Eigenvalues |
2- 3- -4 0 2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188235,29468934] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:7803:1] |
Generators of the group modulo torsion |
j |
1909913257984/129730653 |
j-invariant |
L |
6.3886321445502 |
L(r)(E,1)/r! |
Ω |
0.34965265782714 |
Real period |
R |
0.91356836672571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
312e1 |
Quadratic twists by: 17 |