Atkin-Lehner |
2- 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3984d |
Isogeny class |
Conductor |
3984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-507912192 = -1 · 213 · 32 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,1008] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:24:1] |
Generators of the group modulo torsion |
j |
18191447/124002 |
j-invariant |
L |
3.1140165706901 |
L(r)(E,1)/r! |
Ω |
1.2005775933182 |
Real period |
R |
0.64844133940635 |
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 |
498a2 15936u2 11952p2 99600cy2 |
Quadratic twists by: -4 8 -3 5 |