Atkin-Lehner |
2+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960h |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-72531230720 = -1 · 214 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -6 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4901,-131075] |
[a1,a2,a3,a4,a6] |
j |
-794779196416/4426955 |
j-invariant |
L |
1.1407930130311 |
L(r)(E,1)/r! |
Ω |
0.28519792792902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960bd1 16120c1 |
Quadratic twists by: -4 8 |