Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25760a |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13271552000 = -1 · 212 · 53 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,452,-4128] |
[a1,a2,a3,a4,a6] |
j |
2493326016/3240125 |
j-invariant |
L |
1.3444365848679 |
L(r)(E,1)/r! |
Ω |
0.67221829243406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25760g2 51520ba1 128800ba2 |
Quadratic twists by: -4 8 5 |