Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740v |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
90545408763600 = 24 · 3 · 52 · 7 · 476 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173045,-27760800] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:60:1] |
Generators of the group modulo torsion |
j |
35816521494729588736/5659088047725 |
j-invariant |
L |
6.8384807488335 |
L(r)(E,1)/r! |
Ω |
0.23407967150301 |
Real period |
R |
3.2460366568186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960by3 59220o3 98700c3 |
Quadratic twists by: -4 -3 5 |