Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5776k |
Isogeny class |
Conductor |
5776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-10573830480822272 = -1 · 215 · 199 |
Discriminant |
Eigenvalues |
2- -3 2 3 2 -3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6859,-4952198] |
[a1,a2,a3,a4,a6] |
j |
-27/8 |
j-invariant |
L |
1.4523586023252 |
L(r)(E,1)/r! |
Ω |
0.18154482529065 |
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 |
722d1 23104bk1 51984ce1 5776j1 |
Quadratic twists by: -4 8 -3 -19 |