Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552cx |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-1.2917916284839E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-850053,-624802725] |
[a1,a2,a3,a4,a6] |
j |
-66337985583376384000/126151526219132547 |
j-invariant |
L |
1.7761892437509 |
L(r)(E,1)/r! |
Ω |
0.074007892094176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552q1 27888n1 |
Quadratic twists by: -4 8 |