Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ej |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-15431472000000 = -1 · 210 · 39 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6000,61000] |
[a1,a2,a3,a4,a6] |
j |
2048000/1323 |
j-invariant |
L |
1.7453203243835 |
L(r)(E,1)/r! |
Ω |
0.43633006247869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800oe1 6300j1 33600cn1 4032n1 |
Quadratic twists by: -4 8 -3 5 |