Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094w |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3244032 |
Modular degree for the optimal curve |
Δ |
-1.147652435704E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 11- -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-829296,1655833108] |
[a1,a2,a3,a4,a6] |
Generators |
[2822:146180:1] |
Generators of the group modulo torsion |
j |
-403630251937/7344147204 |
j-invariant |
L |
3.743133481449 |
L(r)(E,1)/r! |
Ω |
0.13007625724943 |
Real period |
R |
3.5970567963036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698bg1 50094cc1 |
Quadratic twists by: -3 -11 |