Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21756o |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
276433737552 = 24 · 34 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-2920] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:147:1] |
Generators of the group modulo torsion |
j |
256000000/146853 |
j-invariant |
L |
6.1496434432281 |
L(r)(E,1)/r! |
Ω |
0.8152014092383 |
Real period |
R |
0.62864254296924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024ci1 65268n1 3108b1 |
Quadratic twists by: -4 -3 -7 |