Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080bn |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-81314913484800 = -1 · 215 · 310 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5172,-409552] |
[a1,a2,a3,a4,a6] |
Generators |
[134:-1640:1] |
Generators of the group modulo torsion |
j |
640503928/3404025 |
j-invariant |
L |
4.9918055352817 |
L(r)(E,1)/r! |
Ω |
0.30566593369068 |
Real period |
R |
1.0206824303343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999322181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080bk2 59040ba2 39360l2 |
Quadratic twists by: -4 8 -3 |