Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
28896d |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
52186176 = 26 · 32 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-602,5880] |
[a1,a2,a3,a4,a6] |
j |
377619516352/815409 |
j-invariant |
L |
2.000925391735 |
L(r)(E,1)/r! |
Ω |
2.0009253917342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28896t1 57792bf2 86688bp1 |
Quadratic twists by: -4 8 -3 |