Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475bf |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1274013706243359375 = 310 · 58 · 7 · 534 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-328505,-47905878] |
[a1,a2,a3,a4,a6] |
j |
344192078341441/111847568175 |
j-invariant |
L |
1.6365979545672 |
L(r)(E,1)/r! |
Ω |
0.20457475166595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825b4 16695i3 |
Quadratic twists by: -3 5 |