Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bu |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1820786688 = 216 · 34 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-513,-3807] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:7:1] |
Generators of the group modulo torsion |
j |
665500/81 |
j-invariant |
L |
3.8063554491179 |
L(r)(E,1)/r! |
Ω |
1.0109937782733 |
Real period |
R |
1.8824821333811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408y2 2352g2 28224fa2 9408cq2 |
Quadratic twists by: -4 8 -3 -7 |