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 |
Δ |
1505836081916165736 = 23 · 38 · 119 · 233 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5234846,-4608345211] |
[a1,a2,a3,a4,a6] |
Generators |
[-10602:9653:8] |
Generators of the group modulo torsion |
j |
12284337086925553/1165987944 |
j-invariant |
L |
12.643760324406 |
L(r)(E,1)/r! |
Ω |
0.099810459992666 |
Real period |
R |
3.5188252272706 |
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 |
16698t2 4554p2 |
Quadratic twists by: -3 -11 |