Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640h |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
24456330779040000 = 28 · 32 · 54 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-686020,218801632] |
[a1,a2,a3,a4,a6] |
Generators |
[489:170:1] |
Generators of the group modulo torsion |
j |
2964647793616/2030625 |
j-invariant |
L |
5.8723940547287 |
L(r)(E,1)/r! |
Ω |
0.3747487621155 |
Real period |
R |
3.9175540020356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006122 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43320be2 4560g2 |
Quadratic twists by: -4 -19 |