Atkin-Lehner |
2- 3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970bh |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2174062208385600 = 26 · 314 · 52 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43547,-2672629] |
[a1,a2,a3,a4,a6] |
j |
12527417696134249/2982252686400 |
j-invariant |
L |
4.0343480186963 |
L(r)(E,1)/r! |
Ω |
0.33619566823559 |
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 |
15990g2 |
Quadratic twists by: -3 |