Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960ce |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58176000000 = 212 · 32 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4681,-121175] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:12:1] |
Generators of the group modulo torsion |
j |
2769953397184/14203125 |
j-invariant |
L |
2.172870829026 |
L(r)(E,1)/r! |
Ω |
0.57735271368615 |
Real period |
R |
1.881753361879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960dg2 48480u1 |
Quadratic twists by: -4 8 |