Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28896o |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
257312638464 = 29 · 3 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2184,-31524] |
[a1,a2,a3,a4,a6] |
Generators |
[-6978:17225:216] |
Generators of the group modulo torsion |
j |
2251181395016/502563747 |
j-invariant |
L |
5.1913304731833 |
L(r)(E,1)/r! |
Ω |
0.7094881160153 |
Real period |
R |
7.3170083557415 |
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 |
28896f3 57792j4 86688i3 |
Quadratic twists by: -4 8 -3 |