Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816cr |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4747133952 = 210 · 34 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11- 2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-593,-4665] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:33:1] |
Generators of the group modulo torsion |
j |
22559008000/4635873 |
j-invariant |
L |
7.07379028189 |
L(r)(E,1)/r! |
Ω |
0.98130766084261 |
Real period |
R |
0.60071122064809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816a1 22704b1 |
Quadratic twists by: -4 8 |