Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800dx |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4480842240000000 = -1 · 215 · 36 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33300,-2214000] |
[a1,a2,a3,a4,a6] |
j |
10941048/12005 |
j-invariant |
L |
3.7663833558888 |
L(r)(E,1)/r! |
Ω |
0.23539896508741 |
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 |
100800fo3 50400bc2 11200b4 20160br4 |
Quadratic twists by: -4 8 -3 5 |