Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474q |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-228277152889344 = -1 · 29 · 36 · 13 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -6 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1492983,-701778083] |
[a1,a2,a3,a4,a6] |
Generators |
[14364145928675131598171580:2077208625492588618285491569:679796025413392952000] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
5.3301177681187 |
L(r)(E,1)/r! |
Ω |
0.068289795716402 |
Real period |
R |
39.025726407602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386g3 234e3 |
Quadratic twists by: -3 -19 |