Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094bl |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-2383429238784 = -1 · 218 · 33 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11- -7 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3244,-22217] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-403:1] |
Generators of the group modulo torsion |
j |
9553384269/6029312 |
j-invariant |
L |
12.379555277552 |
L(r)(E,1)/r! |
Ω |
0.46947055082511 |
Real period |
R |
0.73247732979723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50094g1 50094c1 |
Quadratic twists by: -3 -11 |