Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405m |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1768060794339225 = 38 · 52 · 476 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99819,11993800] |
[a1,a2,a3,a4,a6] |
j |
13997521/225 |
j-invariant |
L |
0.94361642557418 |
L(r)(E,1)/r! |
Ω |
0.4718082171008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33135a2 45a2 |
Quadratic twists by: -3 -47 |