Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28896l |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
7398781157404224 = 26 · 312 · 76 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-167314,-25959056] |
[a1,a2,a3,a4,a6] |
Generators |
[2495:122808:1] |
Generators of the group modulo torsion |
j |
8093626893363763648/115605955584441 |
j-invariant |
L |
3.1257126130704 |
L(r)(E,1)/r! |
Ω |
0.23626091213754 |
Real period |
R |
4.4099728343988 |
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 |
28896h1 57792bs2 86688s1 |
Quadratic twists by: -4 8 -3 |