Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dk |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.3554547776E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29400363,-61356284838] |
[a1,a2,a3,a4,a6] |
j |
941226862950447171561/45393906250000 |
j-invariant |
L |
1.0373674585197 |
L(r)(E,1)/r! |
Ω |
0.064835466244793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930y2 6160p2 |
Quadratic twists by: -4 -3 |