Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bo |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
48478500000000000 = 211 · 36 · 512 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97947,5195286] |
[a1,a2,a3,a4,a6] |
Generators |
[382:4850:1] |
Generators of the group modulo torsion |
j |
69604873310898/32470703125 |
j-invariant |
L |
6.6917888338277 |
L(r)(E,1)/r! |
Ω |
0.31944986840102 |
Real period |
R |
3.4913088070838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760bl4 5320b3 |
Quadratic twists by: -4 -3 |