Atkin-Lehner |
2- 3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970bm |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
96624987039360 = 27 · 312 · 5 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28022,-1735419] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:279:1] |
Generators of the group modulo torsion |
j |
3337943953165849/132544563840 |
j-invariant |
L |
11.864605565531 |
L(r)(E,1)/r! |
Ω |
0.36990289452133 |
Real period |
R |
1.1455328393762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990d2 |
Quadratic twists by: -3 |