Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160x |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
346112 |
Modular degree for the optimal curve |
Δ |
-6151680000 = -1 · 212 · 33 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250008,-48114832] |
[a1,a2,a3,a4,a6] |
j |
-15626500048000512/55625 |
j-invariant |
L |
0.85402569806231 |
L(r)(E,1)/r! |
Ω |
0.10675324431621 |
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 |
128160v1 128160f1 |
Quadratic twists by: -4 -3 |