Atkin-Lehner |
2+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050x |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
39321600 |
Modular degree for the optimal curve |
Δ |
1.331844699185E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14156507867,648312934565541] |
[a1,a2,a3,a4,a6] |
Generators |
[60230:-3792731:1] |
Generators of the group modulo torsion |
j |
160643100256071542772421986261/68190448598272 |
j-invariant |
L |
4.3170240370096 |
L(r)(E,1)/r! |
Ω |
0.077970555959186 |
Real period |
R |
2.7683681255858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50050cc1 |
Quadratic twists by: 5 |