Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094cl |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
121955572632807936 = 29 · 312 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-138326,10513253] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:4387:1] |
Generators of the group modulo torsion |
j |
226646274673/94431744 |
j-invariant |
L |
12.643760324406 |
L(r)(E,1)/r! |
Ω |
0.299431379978 |
Real period |
R |
1.1729417424235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698t1 4554p1 |
Quadratic twists by: -3 -11 |