Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ei |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
203297472 = 26 · 33 · 76 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.4484202369382 |
L(r)(E,1)/r! |
Ω |
1.5060621089 |
Real period |
R |
2.2896932447605 |
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 |
28224ei1 14112i2 28224eg1 576f1 |
Quadratic twists by: -4 8 -3 -7 |