Atkin-Lehner |
3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84825m |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1618938140625 = 36 · 56 · 132 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2967,11816] |
[a1,a2,a3,a4,a6] |
j |
253636137/142129 |
j-invariant |
L |
2.9160070770306 |
L(r)(E,1)/r! |
Ω |
0.72900176867087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9425b2 3393g2 |
Quadratic twists by: -3 5 |