Atkin-Lehner |
2- 3- |
Signs for the Atkin-Lehner involutions |
Class |
288b |
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] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
1.4337635566386 |
L(r)(E,1)/r! |
Ω |
2.3118891803439 |
Real period |
R |
1.2403393456993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
288c1 576c2 96a1 7200o1 |
Quadratic twists by: -4 8 -3 5 |