Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cs |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.8793263511134E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12846373923,560426873165602] |
[a1,a2,a3,a4,a6] |
Generators |
[1641663433:-435896729406:12167] |
Generators of the group modulo torsion |
j |
78519570041710065450485106721/96428056919040 |
j-invariant |
L |
4.9042369075969 |
L(r)(E,1)/r! |
Ω |
0.077489068007237 |
Real period |
R |
15.82235092521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930i3 18480da3 |
Quadratic twists by: -4 -3 |