Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gr |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.9163209522158E+29 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11+ -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-269632833,-21130563913537] |
[a1,a2,a3,a4,a6] |
Generators |
[1254493680126284121472692615233:101638560518123038758894778028800:37475629562533204248614351] |
Generators of the group modulo torsion |
j |
-21171034581520602865/1871407179898211648 |
j-invariant |
L |
7.5848097144285 |
L(r)(E,1)/r! |
Ω |
0.014084302309919 |
Real period |
R |
44.877443148692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200dq2 30800cm2 123200fj2 |
Quadratic twists by: -4 8 5 |