Atkin-Lehner |
2- 7- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
105742k |
Isogeny class |
Conductor |
105742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3194677304 = -1 · 23 · 73 · 132 · 832 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,141,-2677] |
[a1,a2,a3,a4,a6] |
j |
909853209/9313928 |
j-invariant |
L |
4.1948736577482 |
L(r)(E,1)/r! |
Ω |
0.69914565703277 |
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 |
105742h2 |
Quadratic twists by: -7 |