Atkin-Lehner |
2- 11- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
128656t |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4167360 |
Modular degree for the optimal curve |
Δ |
-3.1031297395525E+20 |
Discriminant |
Eigenvalues |
2- 0 0 2 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5179640,-4615778017] |
[a1,a2,a3,a4,a6] |
Generators |
[87047120670141273555463441386525223854242103862184436707101119430335494233072333:10846408521344507239207255536469860471846357559892101987059067139051805077614617536:5484729668821986091690566542038007543191849886972287570628481143098132825189] |
Generators of the group modulo torsion |
j |
-960511253911630921728000/19394560872202835803 |
j-invariant |
L |
6.2380484874342 |
L(r)(E,1)/r! |
Ω |
0.049977566933818 |
Real period |
R |
124.81697029579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32164a1 |
Quadratic twists by: -4 |