Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400kq |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2569011200000000 = 227 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-292833,-60846463] |
[a1,a2,a3,a4,a6] |
j |
553463785/512 |
j-invariant |
L |
3.6943756286427 |
L(r)(E,1)/r! |
Ω |
0.20524309097527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400fk2 19600dy2 78400ij2 78400jp2 |
Quadratic twists by: -4 8 5 -7 |