Atkin-Lehner |
2+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54080z |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5429503678976000000 = -1 · 215 · 56 · 139 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-272428,124754448] |
[a1,a2,a3,a4,a6] |
j |
-6434856/15625 |
j-invariant |
L |
0.85393948691588 |
L(r)(E,1)/r! |
Ω |
0.21348487197269 |
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 |
54080y2 27040n2 54080bu2 |
Quadratic twists by: -4 8 13 |