Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965s |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11706149030625 = 32 · 54 · 78 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-162926,-25325469] |
[a1,a2,a3,a4,a6] |
j |
4065433152958801/99500625 |
j-invariant |
L |
1.9010457418701 |
L(r)(E,1)/r! |
Ω |
0.23763071773376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41895bu2 69825p2 1995c2 |
Quadratic twists by: -3 5 -7 |