Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6762n |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
66838136399760096 = 25 · 38 · 712 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-163980,-22341014] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:1191:1] |
Generators of the group modulo torsion |
j |
4144806984356137/568114785504 |
j-invariant |
L |
4.0106684878562 |
L(r)(E,1)/r! |
Ω |
0.23940413376664 |
Real period |
R |
2.0940889912565 |
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 |
54096bv2 20286cr2 966a2 |
Quadratic twists by: -4 -3 -7 |