Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cq |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-11003795865600 = -1 · 219 · 3 · 52 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-159660] |
[a1,a2,a3,a4,a6] |
j |
-529/9600 |
j-invariant |
L |
2.6218481955473 |
L(r)(E,1)/r! |
Ω |
0.32773076786338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870x1 126960de1 |
Quadratic twists by: -4 -23 |