Atkin-Lehner |
2- 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
108936p |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
22871331072 = 28 · 310 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -2 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4431,-113294] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:14:1] |
Generators of the group modulo torsion |
j |
51553893328/122553 |
j-invariant |
L |
4.7583463878563 |
L(r)(E,1)/r! |
Ω |
0.58524290101907 |
Real period |
R |
2.0326373990926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999058433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36312b1 |
Quadratic twists by: -3 |