Atkin-Lehner |
2+ 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144ba |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-37454843583184896 = -1 · 214 · 34 · 11 · 376 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48529,-10196209] |
[a1,a2,a3,a4,a6] |
j |
-771465925484368/2286062230419 |
j-invariant |
L |
2.3799270487834 |
L(r)(E,1)/r! |
Ω |
0.14874544049679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144cg2 9768e2 |
Quadratic twists by: -4 8 |