Atkin-Lehner |
2- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9968l |
Isogeny class |
Conductor |
9968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
203491377152 = 219 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10715,-426358] |
[a1,a2,a3,a4,a6] |
j |
33215461448625/49680512 |
j-invariant |
L |
1.8771566386804 |
L(r)(E,1)/r! |
Ω |
0.4692891596701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1246h2 39872bg2 89712y2 69776h2 |
Quadratic twists by: -4 8 -3 -7 |