Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700bn |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5969376000 = 28 · 34 · 53 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1148,-14892] |
[a1,a2,a3,a4,a6] |
Generators |
[67:462:1] |
Generators of the group modulo torsion |
j |
5233324304/186543 |
j-invariant |
L |
8.7662571112893 |
L(r)(E,1)/r! |
Ω |
0.82192670558862 |
Real period |
R |
2.6663743403312 |
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 |
98700s2 |
Quadratic twists by: 5 |