Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984r |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-23387380383744 = -1 · 223 · 33 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -4 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7149,-2862] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-768:1] |
Generators of the group modulo torsion |
j |
365372528949/211474432 |
j-invariant |
L |
9.1341406540808 |
L(r)(E,1)/r! |
Ω |
0.40261140657806 |
Real period |
R |
0.94530156780192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10998c1 87984y1 |
Quadratic twists by: -4 -3 |