Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6762k |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-62055678335680512 = -1 · 215 · 33 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -3 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,41624,-11527498] |
[a1,a2,a3,a4,a6] |
j |
1383521234375/10764582912 |
j-invariant |
L |
1.5649231967127 |
L(r)(E,1)/r! |
Ω |
0.1738803551903 |
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 |
54096bd2 20286bv2 6762c2 |
Quadratic twists by: -4 -3 -7 |