Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7752k |
Isogeny class |
Conductor |
7752 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
175232657664 = 28 · 38 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34884,2496096] |
[a1,a2,a3,a4,a6] |
j |
18338973792849232/684502569 |
j-invariant |
L |
1.9018660380725 |
L(r)(E,1)/r! |
Ω |
0.95093301903626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
15504c2 62016p2 23256b2 |
Quadratic twists by: -4 8 -3 |