Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288p |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
624421219479552 = 212 · 39 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101265,12311199] |
[a1,a2,a3,a4,a6] |
Generators |
[219:-828:1] [-333:3036:1] |
Generators of the group modulo torsion |
j |
28037943353302336/152446586787 |
j-invariant |
L |
7.1811017639012 |
L(r)(E,1)/r! |
Ω |
0.51633862928706 |
Real period |
R |
0.1931630113291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24288e2 48576h1 72864k2 |
Quadratic twists by: -4 8 -3 |