Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864v |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
155791060992 = 212 · 34 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2273,-37905] |
[a1,a2,a3,a4,a6] |
j |
317214568000/38034927 |
j-invariant |
L |
2.787318874284 |
L(r)(E,1)/r! |
Ω |
0.69682971857097 |
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 |
24864g2 49728a1 74592h2 |
Quadratic twists by: -4 8 -3 |