Atkin-Lehner |
2+ 3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970r |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
9.0167808875625E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36356094,84260341908] |
[a1,a2,a3,a4,a6] |
j |
7290005289557168759843809/12368698062500000000 |
j-invariant |
L |
1.0401362154739 |
L(r)(E,1)/r! |
Ω |
0.13001702704531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
5330e3 |
Quadratic twists by: -3 |