Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400a |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[-268:900:1] |
Generators of the group modulo torsion |
j |
1214399773444/105 |
j-invariant |
L |
3.3812323838079 |
L(r)(E,1)/r! |
Ω |
1.1444771488796 |
Real period |
R |
2.9543904717697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4200z3 33600fw4 25200v4 1680i3 |
Quadratic twists by: -4 8 -3 5 |