Atkin-Lehner |
2+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576i |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
9923205612544 = 210 · 78 · 412 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ -3 -2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5945,88367] |
[a1,a2,a3,a4,a6] |
j |
3937024/1681 |
j-invariant |
L |
1.3094302390802 |
L(r)(E,1)/r! |
Ω |
0.65471533874204 |
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 |
128576cd1 8036c1 128576t1 |
Quadratic twists by: -4 8 -7 |