Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240t |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3312995840 = 29 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28763,1877582] |
[a1,a2,a3,a4,a6] |
Generators |
[802:321:8] |
Generators of the group modulo torsion |
j |
43688592648/55 |
j-invariant |
L |
4.9319776321024 |
L(r)(E,1)/r! |
Ω |
1.1956859088476 |
Real period |
R |
4.1248103649958 |
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 |
86240f4 1760j2 |
Quadratic twists by: -4 -7 |