Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680co |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-18042750000000000 = -1 · 210 · 38 · 512 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-562368,-162451208] |
[a1,a2,a3,a4,a6] |
Generators |
[18701806:620964720:12167] |
Generators of the group modulo torsion |
j |
-26348629355659264/24169921875 |
j-invariant |
L |
4.2065954487889 |
L(r)(E,1)/r! |
Ω |
0.087164675916611 |
Real period |
R |
12.065080849991 |
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 |
31680x3 7920bl3 10560cn3 |
Quadratic twists by: -4 8 -3 |