Atkin-Lehner |
3+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
128865c |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
-1143676875 = -1 · 3 · 54 · 112 · 712 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11- 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-381,-3169] |
[a1,a2,a3,a4,a6] |
Generators |
[651:874:27] |
Generators of the group modulo torsion |
j |
-50681872384/9451875 |
j-invariant |
L |
4.3286940464936 |
L(r)(E,1)/r! |
Ω |
0.53477744661346 |
Real period |
R |
2.0235960174404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128865d1 |
Quadratic twists by: -11 |