Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
119064l |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-1.3152643387638E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 11- 6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6022452,-5693319216] |
[a1,a2,a3,a4,a6] |
j |
-53265713623008208/29001266811 |
j-invariant |
L |
4.6257611635157 |
L(r)(E,1)/r! |
Ω |
0.048185018893419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10824j1 |
Quadratic twists by: -11 |