Atkin-Lehner |
2+ 3- 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970n |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1165816872900 = 22 · 38 · 52 · 312 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4050,85536] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:441:1] |
Generators of the group modulo torsion |
j |
10079095744801/1599200100 |
j-invariant |
L |
3.868824122274 |
L(r)(E,1)/r! |
Ω |
0.82948779756187 |
Real period |
R |
1.1660280399878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977634 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39990ba2 |
Quadratic twists by: -3 |