Atkin-Lehner |
2- 3+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850cc |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
54951936000 = 218 · 3 · 53 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1028,5381] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:145:1] [1:65:1] |
Generators of the group modulo torsion |
j |
961212581909/439615488 |
j-invariant |
L |
12.728632036572 |
L(r)(E,1)/r! |
Ω |
1.002056216879 |
Real period |
R |
1.4113903238996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83850bk1 |
Quadratic twists by: 5 |