Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3648bg |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17247043584 = 216 · 36 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-769,4991] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:96:1] |
Generators of the group modulo torsion |
j |
768400132/263169 |
j-invariant |
L |
3.7312687963579 |
L(r)(E,1)/r! |
Ω |
1.1326760316545 |
Real period |
R |
1.0980688481912 |
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 |
3648i2 912b2 10944bx2 91200ey2 |
Quadratic twists by: -4 8 -3 5 |