Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094cg |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-4277341913328 = -1 · 24 · 38 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3244,68775] |
[a1,a2,a3,a4,a6] |
Generators |
[29:417:1] |
Generators of the group modulo torsion |
j |
2924207/3312 |
j-invariant |
L |
8.6651309797067 |
L(r)(E,1)/r! |
Ω |
0.51796136971685 |
Real period |
R |
2.0911624607363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16698e1 414c1 |
Quadratic twists by: -3 -11 |