Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240t |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3312995840000 = 212 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4508,-76832] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:196:1] |
Generators of the group modulo torsion |
j |
21024576/6875 |
j-invariant |
L |
4.9319776321024 |
L(r)(E,1)/r! |
Ω |
0.59784295442379 |
Real period |
R |
1.031202591249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240f3 1760j3 |
Quadratic twists by: -4 -7 |