Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440c |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
373441622400000 = 210 · 39 · 55 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1799307,928978794] |
[a1,a2,a3,a4,a6] |
Generators |
[763:550:1] |
Generators of the group modulo torsion |
j |
31963054227773868/18528125 |
j-invariant |
L |
6.3789389046053 |
L(r)(E,1)/r! |
Ω |
0.44124662234305 |
Real period |
R |
0.72283147128547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720ba2 55440a2 |
Quadratic twists by: -4 -3 |