Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800dz |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4629441600000000 = 212 · 310 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45300,1748000] |
[a1,a2,a3,a4,a6] |
j |
220348864/99225 |
j-invariant |
L |
3.1209717467122 |
L(r)(E,1)/r! |
Ω |
0.39012147582456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100800fs2 50400dh1 33600k2 20160cl2 |
Quadratic twists by: -4 8 -3 5 |