Atkin-Lehner |
2- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202bc |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-260920020973782352 = -1 · 24 · 76 · 137 · 472 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,130718,16579519] |
[a1,a2,a3,a4,a6] |
j |
51176381367383/54056421328 |
j-invariant |
L |
9.8695509903815 |
L(r)(E,1)/r! |
Ω |
0.20561564997131 |
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 |
8554b2 |
Quadratic twists by: 13 |