Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620bk |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-464609570872608000 = -1 · 28 · 32 · 53 · 78 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148780,39490100] |
[a1,a2,a3,a4,a6] |
Generators |
[275:4410:1] |
Generators of the group modulo torsion |
j |
-12092945312464/15426235125 |
j-invariant |
L |
8.4191249430862 |
L(r)(E,1)/r! |
Ω |
0.26740528088016 |
Real period |
R |
2.6237093859085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9660a2 |
Quadratic twists by: -7 |