Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5776f |
Isogeny class |
Conductor |
5776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-228831165184 = -1 · 28 · 197 |
Discriminant |
Eigenvalues |
2+ -2 -1 3 3 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,23211] |
[a1,a2,a3,a4,a6] |
j |
-1024/19 |
j-invariant |
L |
1.6727375175231 |
L(r)(E,1)/r! |
Ω |
0.83636875876153 |
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 |
2888f1 23104by1 51984t1 304d1 |
Quadratic twists by: -4 8 -3 -19 |