Atkin-Lehner |
2+ 3- |
Signs for the Atkin-Lehner involutions |
Class |
288c |
Isogeny class |
Conductor |
288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1119744 = 29 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,1910] |
[a1,a2,a3,a4,a6] |
j |
7301384/3 |
j-invariant |
L |
1.3526394018325 |
L(r)(E,1)/r! |
Ω |
2.7052788036651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
288b2 576b3 96b2 7200bq3 |
Quadratic twists by: -4 8 -3 5 |