Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fo |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.282791989248E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144033,173647937] |
[a1,a2,a3,a4,a6] |
Generators |
[491:14868:1] |
Generators of the group modulo torsion |
j |
-80677568161/3131816380 |
j-invariant |
L |
10.245133139294 |
L(r)(E,1)/r! |
Ω |
0.18677909251992 |
Real period |
R |
4.5709671672684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999472969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bc3 30800bz3 24640bc3 |
Quadratic twists by: -4 8 5 |