Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680ci |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3413542988021760000 = 220 · 316 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-814188,-268435888] |
[a1,a2,a3,a4,a6] |
Generators |
[70864:18862668:1] |
Generators of the group modulo torsion |
j |
312341975961049/17862322500 |
j-invariant |
L |
5.2221361581122 |
L(r)(E,1)/r! |
Ω |
0.15950182642796 |
Real period |
R |
8.1850726650935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31680t2 7920bj2 10560bx2 |
Quadratic twists by: -4 8 -3 |