Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700bn |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-278334000 = -1 · 24 · 32 · 53 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,-792] |
[a1,a2,a3,a4,a6] |
Generators |
[996:3861:64] |
Generators of the group modulo torsion |
j |
1048576/139167 |
j-invariant |
L |
8.7662571112893 |
L(r)(E,1)/r! |
Ω |
0.82192670558862 |
Real period |
R |
5.3327486806625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98700s1 |
Quadratic twists by: 5 |