Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3920p |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-188900999168000 = -1 · 218 · 53 · 78 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 6 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25496,1709296] |
[a1,a2,a3,a4,a6] |
j |
-77626969/8000 |
j-invariant |
L |
1.1062545073257 |
L(r)(E,1)/r! |
Ω |
0.55312725366287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
490a2 15680db2 35280fd2 19600bt2 |
Quadratic twists by: -4 8 -3 5 |