Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920ca |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
542902533488640 = 219 · 36 · 5 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49816,-4146796] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:78:1] |
Generators of the group modulo torsion |
j |
3337943953165849/132544563840 |
j-invariant |
L |
7.4835819981966 |
L(r)(E,1)/r! |
Ω |
0.32034530358886 |
Real period |
R |
1.9467488017322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999563986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990d2 |
Quadratic twists by: -4 |