Atkin-Lehner |
2+ 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160r |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-19931443200 = -1 · 212 · 37 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272,-18736] |
[a1,a2,a3,a4,a6] |
j |
-76225024/6675 |
j-invariant |
L |
3.1817972964771 |
L(r)(E,1)/r! |
Ω |
0.39772492414918 |
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 |
128160s1 42720d1 |
Quadratic twists by: -4 -3 |