Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640n |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
205948048665600 = 210 · 32 · 52 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144520,-21087200] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:102:1] |
Generators of the group modulo torsion |
j |
6929294404/4275 |
j-invariant |
L |
2.9955245486678 |
L(r)(E,1)/r! |
Ω |
0.24486876929466 |
Real period |
R |
3.0582958380359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320r2 4560i2 |
Quadratic twists by: -4 -19 |