Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lq |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1714608000000 = -1 · 210 · 37 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,-65000] |
[a1,a2,a3,a4,a6] |
Generators |
[86:684:1] |
Generators of the group modulo torsion |
j |
-16384/147 |
j-invariant |
L |
4.1906928117445 |
L(r)(E,1)/r! |
Ω |
0.35509290677989 |
Real period |
R |
2.9504199492448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fd1 25200dw1 33600gc1 4032bn1 |
Quadratic twists by: -4 8 -3 5 |