Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728p |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
406962030809972736 = 223 · 316 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4004232,-3085271820] |
[a1,a2,a3,a4,a6] |
Generators |
[4926:311040:1] |
Generators of the group modulo torsion |
j |
1733490909744055732873/99355964553216 |
j-invariant |
L |
5.6149948677272 |
L(r)(E,1)/r! |
Ω |
0.10672624536817 |
Real period |
R |
1.6440997152216 |
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 |
966c2 30912bi2 23184br2 54096bo2 |
Quadratic twists by: -4 8 -3 -7 |