Atkin-Lehner |
2+ 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808l |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23697151229952 = -1 · 219 · 38 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3156,224048] |
[a1,a2,a3,a4,a6] |
j |
18191447/124002 |
j-invariant |
L |
3.9210700005539 |
L(r)(E,1)/r! |
Ω |
0.49013375004139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47808bx2 1494e2 15936e2 |
Quadratic twists by: -4 8 -3 |