Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3724a |
Isogeny class |
Conductor |
3724 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
76108549888 = 28 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1519,-18522] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:147:8] |
Generators of the group modulo torsion |
j |
12869712/2527 |
j-invariant |
L |
3.8636539210068 |
L(r)(E,1)/r! |
Ω |
0.77520466694504 |
Real period |
R |
2.4920218400083 |
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 |
14896bc2 59584bc2 33516n2 93100e2 |
Quadratic twists by: -4 8 -3 5 |