Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3978j |
Isogeny class |
Conductor |
3978 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5127132816 = 24 · 38 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-644,-5097] |
[a1,a2,a3,a4,a6] |
j |
40459583737/7033104 |
j-invariant |
L |
3.8363830424837 |
L(r)(E,1)/r! |
Ω |
0.95909576062093 |
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 |
31824bj2 127296g2 1326b2 99450v2 |
Quadratic twists by: -4 8 -3 5 |