Atkin-Lehner |
2- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
118720w |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1912320 |
Modular degree for the optimal curve |
Δ |
-3.0516544921199E+19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-806485,-385433357] |
[a1,a2,a3,a4,a6] |
Generators |
[5835291675520118044477521913441437732:163650807876934334418023827046981833573:3899222989153118041943736282424384] |
Generators of the group modulo torsion |
j |
-3540733125883592704/1862582087475515 |
j-invariant |
L |
8.2767682307732 |
L(r)(E,1)/r! |
Ω |
0.077736009864497 |
Real period |
R |
53.236384561033 |
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 |
118720k1 29680i1 |
Quadratic twists by: -4 8 |