Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680gl |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
1809450316800 = 210 · 312 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5405,-140397] |
[a1,a2,a3,a4,a6] |
Generators |
[91:360:1] |
Generators of the group modulo torsion |
j |
17056550262784/1767041325 |
j-invariant |
L |
10.497257646116 |
L(r)(E,1)/r! |
Ω |
0.56051896330129 |
Real period |
R |
1.5606456333501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999774065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680be1 31920g1 |
Quadratic twists by: -4 8 |