Atkin-Lehner |
3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7995b |
Isogeny class |
Conductor |
7995 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
215865 = 34 · 5 · 13 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14213,-658152] |
[a1,a2,a3,a4,a6] |
j |
317562142497484249/215865 |
j-invariant |
L |
0.87448856064038 |
L(r)(E,1)/r! |
Ω |
0.43724428032019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920bw4 23985s4 39975m4 103935f4 |
Quadratic twists by: -4 -3 5 13 |