Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7742l |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5792201732575216 = 24 · 76 · 795 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1145621,471855089] |
[a1,a2,a3,a4,a6] |
Generators |
[608:103:1] |
Generators of the group modulo torsion |
j |
1413378216646643521/49232902384 |
j-invariant |
L |
6.8862395160061 |
L(r)(E,1)/r! |
Ω |
0.39883929039504 |
Real period |
R |
4.3164249873586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61936v2 69678i2 158c2 |
Quadratic twists by: -4 -3 -7 |