Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200z |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1680000000 = 210 · 3 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56008,-5120512] |
[a1,a2,a3,a4,a6] |
j |
1214399773444/105 |
j-invariant |
L |
2.4827122184585 |
L(r)(E,1)/r! |
Ω |
0.31033902730732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400a3 33600o4 12600r3 840c3 |
Quadratic twists by: -4 8 -3 5 |