Atkin-Lehner |
2+ 3- |
Signs for the Atkin-Lehner involutions |
Class |
288c |
Isogeny class |
Conductor |
288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
419904 = 26 · 38 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,20] |
[a1,a2,a3,a4,a6] |
j |
21952/9 |
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 |
288b1 576b2 96b1 7200bq1 |
Quadratic twists by: -4 8 -3 5 |