Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800bn |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-2841120866304000 = -1 · 234 · 33 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80940,9226800] |
[a1,a2,a3,a4,a6] |
j |
-66282611823/3211264 |
j-invariant |
L |
3.5829327509543 |
L(r)(E,1)/r! |
Ω |
0.44786657219334 |
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 |
100800km1 3150z1 100800bm1 100800ci1 |
Quadratic twists by: -4 8 -3 5 |