Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440dg |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1920000 |
Modular degree for the optimal curve |
Δ |
-5.0723828687347E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1287408,658430768] |
[a1,a2,a3,a4,a6] |
j |
-79028701534867456/16987307596875 |
j-invariant |
L |
2.2979278704823 |
L(r)(E,1)/r! |
Ω |
0.19149398925507 |
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 |
3465h1 18480cb1 |
Quadratic twists by: -4 -3 |