Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7920u |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-62694551715840000 = -1 · 221 · 33 · 54 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,97797,2560298] |
[a1,a2,a3,a4,a6] |
j |
935355271080573/566899520000 |
j-invariant |
L |
1.7194698323799 |
L(r)(E,1)/r! |
Ω |
0.21493372904748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
990h4 31680cf2 7920x4 39600cb2 |
Quadratic twists by: -4 8 -3 5 |