Atkin-Lehner |
3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21483m |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-2813778891 = -1 · 37 · 73 · 112 · 31 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11+ -3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-489,4882] |
[a1,a2,a3,a4,a6] |
Generators |
[388:2929:64] [-25:38:1] |
Generators of the group modulo torsion |
j |
-17738739712/3859779 |
j-invariant |
L |
3.4867606700904 |
L(r)(E,1)/r! |
Ω |
1.3698198183887 |
Real period |
R |
0.10605898136151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161f1 |
Quadratic twists by: -3 |